14.37/5.11 NO 14.37/5.12 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 14.37/5.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.37/5.12 14.37/5.12 14.37/5.12 Termination of the given C Problem could be disproven: 14.37/5.12 14.37/5.12 (0) C Problem 14.37/5.12 (1) CToLLVMProof [EQUIVALENT, 173 ms] 14.37/5.12 (2) LLVM problem 14.37/5.12 (3) LLVMToTerminationGraphProof [EQUIVALENT, 1429 ms] 14.37/5.12 (4) LLVM Symbolic Execution Graph 14.37/5.12 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 14.37/5.12 (6) LLVM Symbolic Execution Lasso 14.37/5.12 (7) Lasso2IRS [EQUIVALENT, 42 ms] 14.37/5.12 (8) IntTRS 14.37/5.12 (9) IRS2T2 [EQUIVALENT, 0 ms] 14.37/5.12 (10) T2IntSys 14.37/5.12 (11) T2 [COMPLETE, 1142 ms] 14.37/5.12 (12) NO 14.37/5.12 14.37/5.12 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (0) 14.37/5.12 Obligation: 14.37/5.12 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (1) CToLLVMProof (EQUIVALENT) 14.37/5.12 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (2) 14.37/5.12 Obligation: 14.37/5.12 LLVM Problem 14.37/5.12 14.37/5.12 Aliases: 14.37/5.12 14.37/5.12 Data layout: 14.37/5.12 14.37/5.12 "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" 14.37/5.12 14.37/5.12 Machine: 14.37/5.12 14.37/5.12 "x86_64-pc-linux-gnu" 14.37/5.12 14.37/5.12 Type definitions: 14.37/5.12 14.37/5.12 Global variables: 14.37/5.12 14.37/5.12 Function declarations and definitions: 14.37/5.12 14.37/5.12 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 14.37/5.12 *BasicFunctionTypename: "rec" linkageType: EXTERNALLY_VISIBLE returnParam: BasicVoidType parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 14.37/5.12 0: 14.37/5.12 %1 = alloca i32, align 4 14.37/5.12 %2 = alloca i32, align 4 14.37/5.12 store %x, %1 14.37/5.12 store %y, %2 14.37/5.12 %3 = load %1 14.37/5.12 %4 = icmp sle %3 23 14.37/5.12 br %4, %5, %14 14.37/5.12 5: 14.37/5.12 %6 = load %1 14.37/5.12 %7 = icmp sge %6 -42 14.37/5.12 br %7, %8, %14 14.37/5.12 8: 14.37/5.12 %9 = load %2 14.37/5.12 %10 = mul 2 %9 14.37/5.12 %11 = sub %10 2 14.37/5.12 %12 = load %1 14.37/5.12 %13 = add %12 1 14.37/5.12 Unnamed Call-Instruction = call BasicVoidType @rec(i32 %11, i32 %13) 14.37/5.12 br %14 14.37/5.12 14: 14.37/5.12 ret void 14.37/5.12 14.37/5.12 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 14.37/5.12 0: 14.37/5.12 %1 = alloca i32, align 4 14.37/5.12 %n = alloca i32, align 4 14.37/5.12 store 0, %1 14.37/5.12 %2 = call i32 @__VERIFIER_nondet_int() 14.37/5.12 store %2, %n 14.37/5.12 %3 = load %n 14.37/5.12 %4 = load %n 14.37/5.12 %5 = add %4 1 14.37/5.12 Unnamed Call-Instruction = call BasicVoidType @rec(i32 %3, i32 %5) 14.37/5.12 ret 0 14.37/5.12 14.37/5.12 14.37/5.12 Analyze Termination of all function calls matching the pattern: 14.37/5.12 main() 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (3) LLVMToTerminationGraphProof (EQUIVALENT) 14.37/5.12 Constructed symbolic execution graph for LLVM program and proved memory safety. 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (4) 14.37/5.12 Obligation: 14.37/5.12 SE Graph 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 14.37/5.12 Converted SEGraph to 1 independent lasso. 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (6) 14.37/5.12 Obligation: 14.37/5.12 Lasso 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (7) Lasso2IRS (EQUIVALENT) 14.37/5.12 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 14.37/5.12 Generated rules. Obtained 32 rulesP rules: 14.37/5.12 f_159(v75, v76, v83, v77, v78, v79, v80, v84, 0, v82, 3, 1, 4) -> f_160(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: 1 <= v85 && v86 = 3 + v85 && 4 <= v86 14.37/5.12 f_160(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_161(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: TRUE 14.37/5.12 f_161(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_162(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: TRUE 14.37/5.12 f_162(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_163(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) :|: 0 = 0 14.37/5.12 f_163(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 1, 4) -> f_164(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 1, 4) :|: v75 <= 23 14.37/5.12 f_164(v75, v76, v83, v85, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 1, 4) -> f_166(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) :|: 0 = 0 14.37/5.12 f_166(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) -> f_168(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) :|: TRUE 14.37/5.12 f_168(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) -> f_170(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) :|: 0 = 0 14.37/5.12 f_170(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 23, 4) -> f_172(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: 0 <= 42 + v75 14.37/5.12 f_172(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_175(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: 0 = 0 14.37/5.12 f_175(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_177(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: TRUE 14.37/5.12 f_177(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_179(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) :|: 0 = 0 14.37/5.12 f_179(v75, v76, v83, v85, 1, v77, v78, v79, v80, v84, v86, 0, v82, 3, 42, 23, 4) -> f_181(v75, v76, v83, v85, 1, v111, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) :|: v111 = 2 * v76 14.37/5.12 f_181(v75, v76, v83, v85, 1, v111, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) -> f_183(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) :|: 2 + v112 = v111 14.37/5.12 f_183(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) -> f_184(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) :|: 0 = 0 14.37/5.12 f_184(v75, v76, v83, v85, 1, v111, v112, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4) -> f_185(v75, v76, v83, v85, 1, v111, v112, v113, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4, 41, 24) :|: v113 = 1 + v75 && 0 <= 41 + v113 && v113 <= 24 14.37/5.12 f_185(v75, v76, v83, v85, 1, v111, v112, v113, v77, v78, v79, v80, v84, v86, 0, v82, 3, 2, 42, 23, 4, 41, 24) -> f_186(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 1, v111, 3, 2, 42, 23, 4, 41, 24) :|: 0 = 0 14.37/5.12 f_186(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 1, v111, 3, 2, 42, 23, 4, 41, 24) -> f_187(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 3, 1, 2, 42, 23, 4, 41, 24) :|: TRUE 14.37/5.12 f_187(v112, v113, v77, v78, v79, v80, v83, v84, v85, v86, 0, v82, v75, v76, 3, 1, 2, 42, 23, 4, 41, 24) -> f_158(v112, v113, v77, v78, v79, v80, 0, v82, 3, 1, 4) :|: TRUE 14.37/5.12 f_158(v75, v76, v77, v78, v79, v80, 0, v82, 3, 1, 4) -> f_159(v75, v76, v83, v77, v78, v79, v80, v84, 0, v82, 3, 1, 4) :|: 1 <= v83 && v84 = 3 + v83 && 4 <= v84 14.37/5.12 f_88 -> f_89(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 14.37/5.12 f_89(v1, v2, 3, 1, 4) -> f_90(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 14.37/5.12 f_90(v1, v3, v2, v4, 3, 1, 4) -> f_91(v1, v3, v2, v4, 0, 3, 1, 4) :|: TRUE 14.37/5.12 f_91(v1, v3, v2, v4, 0, 3, 1, 4) -> f_92(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE 14.37/5.12 f_92(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_93(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE 14.37/5.12 f_93(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_94(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 = 0 14.37/5.12 f_94(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_95(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 = 0 14.37/5.12 f_95(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v2, v4, 0, 3, 1, 4) :|: v7 = 1 + v5 14.37/5.12 f_96(v1, v3, v5, v7, v2, v4, 0, 3, 1, 4) -> f_97(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) :|: 0 = 0 14.37/5.12 f_97(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) -> f_98(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) :|: TRUE 14.37/5.12 f_98(v5, v7, v1, v2, v3, v4, 0, 3, 1, 4) -> f_128(v5, v7, v1, v2, v3, v4, 0, v5, 3, 1, 4) :|: TRUE 14.37/5.12 f_128(v36, v37, v38, v39, v40, v41, 0, v43, 3, 1, 4) -> f_158(v36, v37, v38, v39, v40, v41, 0, v43, 3, 1, 4) :|: TRUE 14.37/5.12 Combined rules. Obtained 2 rulesP rules: 14.37/5.12 f_88 -> f_159(v5:0, 1 + v5:0, v83:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, 3 + v83:0, 0, v5:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v83:0 > 0 14.37/5.12 f_159(v75:0, v76:0, v83:0, v77:0, v78:0, v79:0, v80:0, v84:0, 0, v82:0, 3, 1, 4) -> f_159(v112:0, 1 + v75:0, v83:1, v77:0, v78:0, v79:0, v80:0, 3 + v83:1, 0, v82:0, 3, 1, 4) :|: v85:0 > 0 && v75:0 < 24 && v75:0 > -43 && 2 + v112:0 = 2 * v76:0 && v83:1 > 0 14.37/5.12 Filtered unneeded arguments: 14.37/5.12 f_159(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f_159(x1, x2) 14.37/5.12 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 14.37/5.12 f_88 -> f_159(v5:0, 1 + v5:0) :|: TRUE 14.37/5.12 f_159(v75:0, v76:0) -> f_159(v112:0, 1 + v75:0) :|: v75:0 > -43 && 2 + v112:0 = 2 * v76:0 && v75:0 < 24 14.37/5.12 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (8) 14.37/5.12 Obligation: 14.37/5.12 Rules: 14.37/5.12 f_88 -> f_159(v5:0, 1 + v5:0) :|: TRUE 14.37/5.12 f_159(v75:0, v76:0) -> f_159(v112:0, 1 + v75:0) :|: v75:0 > -43 && 2 + v112:0 = 2 * v76:0 && v75:0 < 24 14.37/5.12 Start term: f_88 14.37/5.12 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (9) IRS2T2 (EQUIVALENT) 14.37/5.12 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 14.37/5.12 14.37/5.12 (f_88_2,1) 14.37/5.12 (f_159_2,2) 14.37/5.12 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (10) 14.37/5.12 Obligation: 14.37/5.12 START: 1; 14.37/5.12 14.37/5.12 FROM: 1; 14.37/5.12 oldX0 := x0; 14.37/5.12 oldX1 := x1; 14.37/5.12 oldX2 := nondet(); 14.37/5.12 assume(0 = 0); 14.37/5.12 x0 := oldX2; 14.37/5.12 x1 := 1 + oldX2; 14.37/5.12 TO: 2; 14.37/5.12 14.37/5.12 FROM: 2; 14.37/5.12 oldX0 := x0; 14.37/5.12 oldX1 := x1; 14.37/5.12 oldX2 := nondet(); 14.37/5.12 assume(oldX0 > -43 && 2 + oldX2 = 2 * oldX1 && oldX0 < 24); 14.37/5.12 x0 := oldX2; 14.37/5.12 x1 := 1 + oldX0; 14.37/5.12 TO: 2; 14.37/5.12 14.37/5.12 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (11) T2 (COMPLETE) 14.37/5.12 Found this recurrent set for cutpoint 5: oldX0 == 0 and oldX2 == 0 and x0 == 0 and x1 == 1 14.37/5.12 14.37/5.12 ---------------------------------------- 14.37/5.12 14.37/5.12 (12) 14.37/5.12 NO 14.50/5.17 EOF