12.70/4.16 NO 12.70/4.17 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 12.70/4.17 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.70/4.17 12.70/4.17 12.70/4.17 Termination of the given C Problem could be disproven: 12.70/4.17 12.70/4.17 (0) C Problem 12.70/4.17 (1) CToLLVMProof [EQUIVALENT, 172 ms] 12.70/4.17 (2) LLVM problem 12.70/4.17 (3) LLVMToTerminationGraphProof [EQUIVALENT, 495 ms] 12.70/4.17 (4) LLVM Symbolic Execution Graph 12.70/4.17 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 12.70/4.17 (6) LLVM Symbolic Execution Lasso 12.70/4.17 (7) Lasso2IRS [EQUIVALENT, 56 ms] 12.70/4.17 (8) IntTRS 12.70/4.17 (9) IRS2T2 [EQUIVALENT, 0 ms] 12.70/4.17 (10) T2IntSys 12.70/4.17 (11) T2 [COMPLETE, 933 ms] 12.70/4.17 (12) NO 12.70/4.17 12.70/4.17 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (0) 12.70/4.17 Obligation: 12.70/4.17 c file /export/starexec/sandbox/benchmark/theBenchmark.c 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (1) CToLLVMProof (EQUIVALENT) 12.70/4.17 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (2) 12.70/4.17 Obligation: 12.70/4.17 LLVM Problem 12.70/4.17 12.70/4.17 Aliases: 12.70/4.17 12.70/4.17 Data layout: 12.70/4.17 12.70/4.17 "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" 12.70/4.17 12.70/4.17 Machine: 12.70/4.17 12.70/4.17 "x86_64-pc-linux-gnu" 12.70/4.17 12.70/4.17 Type definitions: 12.70/4.17 12.70/4.17 Global variables: 12.70/4.17 12.70/4.17 Function declarations and definitions: 12.70/4.17 12.70/4.17 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc 12.70/4.17 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 12.70/4.17 0: 12.70/4.17 %1 = alloca i32, align 4 12.70/4.17 %x = alloca i32, align 4 12.70/4.17 %old_x = alloca i32, align 4 12.70/4.17 store 0, %1 12.70/4.17 %2 = call i32 (...)* @__VERIFIER_nondet_int() 12.70/4.17 store %2, %x 12.70/4.17 br %3 12.70/4.17 3: 12.70/4.17 %4 = load %x 12.70/4.17 %5 = icmp sgt %4 1 12.70/4.17 br %5, %6, %15 12.70/4.17 6: 12.70/4.17 %7 = load %x 12.70/4.17 store %7, %old_x 12.70/4.17 %8 = call i32 (...)* @__VERIFIER_nondet_int() 12.70/4.17 store %8, %x 12.70/4.17 %9 = load %x 12.70/4.17 %10 = load %old_x 12.70/4.17 %11 = mul 2 %10 12.70/4.17 %12 = icmp slt %9 %11 12.70/4.17 br %12, %13, %14 12.70/4.17 13: 12.70/4.17 br %15 12.70/4.17 14: 12.70/4.17 br %3 12.70/4.17 15: 12.70/4.17 ret 0 12.70/4.17 12.70/4.17 12.70/4.17 Analyze Termination of all function calls matching the pattern: 12.70/4.17 main() 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (3) LLVMToTerminationGraphProof (EQUIVALENT) 12.70/4.17 Constructed symbolic execution graph for LLVM program and proved memory safety. 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (4) 12.70/4.17 Obligation: 12.70/4.17 SE Graph 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 12.70/4.17 Converted SEGraph to 1 independent lasso. 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (6) 12.70/4.17 Obligation: 12.70/4.17 Lasso 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (7) Lasso2IRS (EQUIVALENT) 12.70/4.17 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 12.70/4.17 Generated rules. Obtained 38 rulesP rules: 12.70/4.17 f_118(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_119(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: 0 = 0 12.70/4.17 f_119(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_120(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: TRUE 12.70/4.17 f_120(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_121(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: 0 = 0 12.70/4.17 f_121(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_122(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: TRUE 12.70/4.17 f_122(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_123(v22, v23, v24, v25, v28, 1, v35, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: TRUE 12.70/4.17 f_123(v22, v23, v24, v25, v28, 1, v35, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_124(v22, v23, v24, v25, v28, 1, v35, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: TRUE 12.70/4.17 f_124(v22, v23, v24, v25, v28, 1, v35, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_125(v22, v23, v24, v25, v28, 1, v35, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: 0 = 0 12.70/4.17 f_125(v22, v23, v24, v25, v28, 1, v35, v26, v29, 0, v31, v32, v33, 3, 2, 4) -> f_126(v22, v23, v24, v25, v28, 1, v35, v29, 0, v31, v32, v33, 3, 2, 4) :|: 0 = 0 12.70/4.17 f_126(v22, v23, v24, v25, v28, 1, v35, v29, 0, v31, v32, v33, 3, 2, 4) -> f_127(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) :|: v37 = 2 * v28 && 8 <= v37 12.70/4.17 f_127(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) -> f_129(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) :|: v37 <= v35 && 8 <= v35 12.70/4.17 f_129(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) -> f_131(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) :|: 0 = 0 12.70/4.17 f_131(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) -> f_133(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) :|: TRUE 12.70/4.17 f_133(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) -> f_135(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) :|: TRUE 12.70/4.17 f_135(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4, 8) -> f_117(v22, v23, v24, v25, v28, 1, v35, v37, 0, v31, v32, v33, 3, 2, 4) :|: TRUE 12.70/4.17 f_117(v22, v23, v24, v25, v26, 1, v28, v29, 0, v31, v32, v33, 3, 2, 4) -> f_118(v22, v23, v24, v25, v28, 1, v26, v29, 0, v31, v32, v33, 3, 2, 4) :|: 0 = 0 12.70/4.17 f_69 -> f_70(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 12.70/4.17 f_70(v1, v2, 3, 1, 4) -> f_71(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 12.70/4.17 f_71(v1, v3, v2, v4, 3, 1, 4) -> f_72(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 12.70/4.17 f_72(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_73(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 12.70/4.17 f_73(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_74(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 12.70/4.17 f_74(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_75(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 12.70/4.17 f_75(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_76(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 12.70/4.17 f_76(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_77(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0 12.70/4.17 f_77(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_78(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4, 2) :|: 1 < v7 12.70/4.17 f_78(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4, 2) -> f_80(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) :|: 0 = 0 12.70/4.17 f_80(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) -> f_82(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) :|: TRUE 12.70/4.17 f_82(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) -> f_84(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) :|: 0 = 0 12.70/4.17 f_84(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) -> f_85(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) :|: TRUE 12.70/4.17 f_85(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4, 2) -> f_86(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) :|: TRUE 12.70/4.17 f_86(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) -> f_87(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) :|: TRUE 12.70/4.17 f_87(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) -> f_88(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) :|: 0 = 0 12.70/4.17 f_88(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) -> f_89(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) :|: 0 = 0 12.70/4.17 f_89(v1, v3, v5, v7, 1, v10, v2, v4, v6, 0, 3, 4, 2) -> f_90(v1, v3, v5, v7, 1, v10, v12, v2, v4, v6, 0, 3, 2, 4) :|: v12 = 2 * v7 && 4 <= v12 12.70/4.17 f_90(v1, v3, v5, v7, 1, v10, v12, v2, v4, v6, 0, 3, 2, 4) -> f_92(v1, v3, v5, v7, 1, v10, v12, v2, v4, v6, 0, 3, 2, 4) :|: v12 <= v10 && 4 <= v10 12.70/4.17 f_92(v1, v3, v5, v7, 1, v10, v12, v2, v4, v6, 0, 3, 2, 4) -> f_94(v1, v3, v5, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) :|: 0 = 0 12.70/4.17 f_94(v1, v3, v5, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) -> f_96(v1, v3, v5, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) :|: TRUE 12.70/4.17 f_96(v1, v3, v5, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) -> f_98(v1, v3, v5, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) :|: TRUE 12.70/4.17 f_98(v1, v3, v5, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) -> f_117(v1, v3, v5, v7, v7, 1, v10, v12, 0, v2, v4, v6, 3, 2, 4) :|: TRUE 12.70/4.17 Combined rules. Obtained 2 rulesP rules: 12.70/4.17 f_69 -> f_118(v1:0, v3:0, v5:0, v7:0, v10:0, 1, v7:0, 2 * v7:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 2, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 1 && 3 < 2 * v7:0 && v10:0 >= 2 * v7:0 && v10:0 > 3 12.70/4.17 f_118(v22:0, v23:0, v24:0, v25:0, v28:0, 1, v26:0, v29:0, 0, v31:0, v32:0, v33:0, 3, 2, 4) -> f_118(v22:0, v23:0, v24:0, v25:0, v35:0, 1, v28:0, 2 * v28:0, 0, v31:0, v32:0, v33:0, 3, 2, 4) :|: 7 < 2 * v28:0 && v35:0 >= 2 * v28:0 && v35:0 > 7 12.70/4.17 Filtered unneeded arguments: 12.70/4.17 f_118(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_118(x4, x5, x7, x8) 12.70/4.17 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 12.70/4.17 f_69 -> f_118(v7:0, v10:0, v7:0, 2 * v7:0) :|: 3 < 2 * v7:0 && v7:0 > 1 && v10:0 > 3 && v10:0 >= 2 * v7:0 12.70/4.17 f_118(v25:0, v28:0, v26:0, v29:0) -> f_118(v25:0, v35:0, v28:0, 2 * v28:0) :|: v35:0 >= 2 * v28:0 && v35:0 > 7 && 7 < 2 * v28:0 12.70/4.17 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (8) 12.70/4.17 Obligation: 12.70/4.17 Rules: 12.70/4.17 f_69 -> f_118(v7:0, v10:0, v7:0, 2 * v7:0) :|: 3 < 2 * v7:0 && v7:0 > 1 && v10:0 > 3 && v10:0 >= 2 * v7:0 12.70/4.17 f_118(v25:0, v28:0, v26:0, v29:0) -> f_118(v25:0, v35:0, v28:0, 2 * v28:0) :|: v35:0 >= 2 * v28:0 && v35:0 > 7 && 7 < 2 * v28:0 12.70/4.17 Start term: f_69 12.70/4.17 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (9) IRS2T2 (EQUIVALENT) 12.70/4.17 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 12.70/4.17 12.70/4.17 (f_69_4,1) 12.70/4.17 (f_118_4,2) 12.70/4.17 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (10) 12.70/4.17 Obligation: 12.70/4.17 START: 1; 12.70/4.17 12.70/4.17 FROM: 1; 12.70/4.17 oldX0 := x0; 12.70/4.17 oldX1 := x1; 12.70/4.17 oldX2 := x2; 12.70/4.17 oldX3 := x3; 12.70/4.17 oldX4 := nondet(); 12.70/4.17 oldX5 := nondet(); 12.70/4.17 assume(3 < 2 * oldX4 && oldX4 > 1 && oldX5 > 3 && oldX5 >= 2 * oldX4); 12.70/4.17 x0 := oldX4; 12.70/4.17 x1 := oldX5; 12.70/4.17 x2 := oldX4; 12.70/4.17 x3 := 2 * oldX4; 12.70/4.17 TO: 2; 12.70/4.17 12.70/4.17 FROM: 2; 12.70/4.17 oldX0 := x0; 12.70/4.17 oldX1 := x1; 12.70/4.17 oldX2 := x2; 12.70/4.17 oldX3 := x3; 12.70/4.17 oldX4 := nondet(); 12.70/4.17 assume(oldX4 >= 2 * oldX1 && oldX4 > 7 && 7 < 2 * oldX1); 12.70/4.17 x0 := oldX0; 12.70/4.17 x1 := oldX4; 12.70/4.17 x2 := oldX1; 12.70/4.17 x3 := 2 * oldX1; 12.70/4.17 TO: 2; 12.70/4.17 12.70/4.17 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (11) T2 (COMPLETE) 12.70/4.17 Found this recurrent set for cutpoint 5: 2 <= oldX4 and 4 <= oldX5 and 4 <= x1 and 6 <= oldX4+oldX5 and oldX4-x1 <= 0 and 6 <= oldX4+x1 and oldX5-x1 <= 0 and 8 <= oldX5+x1 and -x1+4 <= 0 12.70/4.17 12.70/4.17 ---------------------------------------- 12.70/4.17 12.70/4.17 (12) 12.70/4.17 NO 12.86/4.22 EOF