6.25/2.55 YES 6.25/2.56 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 6.25/2.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.25/2.56 6.25/2.56 6.25/2.56 Termination of the given C Problem could be proven: 6.25/2.56 6.25/2.56 (0) C Problem 6.25/2.56 (1) CToLLVMProof [EQUIVALENT, 176 ms] 6.25/2.56 (2) LLVM problem 6.25/2.56 (3) LLVMToTerminationGraphProof [EQUIVALENT, 491 ms] 6.25/2.56 (4) LLVM Symbolic Execution Graph 6.25/2.56 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 6.25/2.56 (6) LLVM Symbolic Execution SCC 6.25/2.56 (7) SCC2IRS [SOUND, 81 ms] 6.25/2.56 (8) IntTRS 6.25/2.56 (9) TerminationGraphProcessor [EQUIVALENT, 22 ms] 6.25/2.56 (10) YES 6.25/2.56 6.25/2.56 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (0) 6.25/2.56 Obligation: 6.25/2.56 c file /export/starexec/sandbox/benchmark/theBenchmark.c 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (1) CToLLVMProof (EQUIVALENT) 6.25/2.56 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (2) 6.25/2.56 Obligation: 6.25/2.56 LLVM Problem 6.25/2.56 6.25/2.56 Aliases: 6.25/2.56 6.25/2.56 Data layout: 6.25/2.56 6.25/2.56 "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" 6.25/2.56 6.25/2.56 Machine: 6.25/2.56 6.25/2.56 "x86_64-pc-linux-gnu" 6.25/2.56 6.25/2.56 Type definitions: 6.25/2.56 6.25/2.56 Global variables: 6.25/2.56 6.25/2.56 Function declarations and definitions: 6.25/2.56 6.25/2.56 *BasicFunctionTypename: "__VERIFIER_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc 6.25/2.56 *BasicFunctionTypename: "f" linkageType: EXTERNALLY_VISIBLE returnParam: BasicVoidType parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 6.25/2.56 0: 6.25/2.56 %1 = alloca i32, align 4 6.25/2.56 store %n, %1 6.25/2.56 %2 = load %1 6.25/2.56 %3 = icmp slt %2 3 6.25/2.56 br %3, %4, %5 6.25/2.56 4: 6.25/2.56 br %10 6.25/2.56 5: 6.25/2.56 %6 = load %1 6.25/2.56 %7 = add %6 -1 6.25/2.56 store %7, %1 6.25/2.56 %8 = load %1 6.25/2.56 Unnamed Call-Instruction = call BasicVoidType @f2(i32 %8) 6.25/2.56 br %9 6.25/2.56 9: 6.25/2.56 Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error() 6.25/2.56 br %10 6.25/2.56 10: 6.25/2.56 ret void 6.25/2.56 6.25/2.56 *BasicFunctionTypename: "f2" linkageType: EXTERNALLY_VISIBLE returnParam: BasicVoidType parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 6.25/2.56 0: 6.25/2.56 %1 = alloca i32, align 4 6.25/2.56 store %n, %1 6.25/2.56 %2 = load %1 6.25/2.56 %3 = icmp slt %2 3 6.25/2.56 br %3, %4, %5 6.25/2.56 4: 6.25/2.56 br %10 6.25/2.56 5: 6.25/2.56 %6 = load %1 6.25/2.56 %7 = add %6 -1 6.25/2.56 store %7, %1 6.25/2.56 %8 = load %1 6.25/2.56 Unnamed Call-Instruction = call BasicVoidType @f(i32 %8) 6.25/2.56 br %9 6.25/2.56 9: 6.25/2.56 Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error() 6.25/2.56 br %10 6.25/2.56 10: 6.25/2.56 ret void 6.25/2.56 6.25/2.56 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 6.25/2.56 0: 6.25/2.56 %1 = alloca i32, align 4 6.25/2.56 store 0, %1 6.25/2.56 Unnamed Call-Instruction = call BasicVoidType @f(i32 4) 6.25/2.56 %2 = load %1 6.25/2.56 ret %2 6.25/2.56 6.25/2.56 6.25/2.56 Analyze Termination of all function calls matching the pattern: 6.25/2.56 main() 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (3) LLVMToTerminationGraphProof (EQUIVALENT) 6.25/2.56 Constructed symbolic execution graph for LLVM program and proved memory safety. 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (4) 6.25/2.56 Obligation: 6.25/2.56 SE Graph 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (5) SymbolicExecutionGraphToSCCProof (SOUND) 6.25/2.56 Splitted symbolic execution graph to 1 SCC. 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (6) 6.25/2.56 Obligation: 6.25/2.56 SCC 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (7) SCC2IRS (SOUND) 6.25/2.56 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 6.25/2.56 Generated rules. Obtained 25 rulesP rules: 6.25/2.56 f_138(v7, v11, v8, v9, v12, 0, 3, 2, 4, 1) -> f_139(v7, v11, v8, v9, v12, 0, 3, 2, 4, 1) :|: TRUE 6.25/2.56 f_139(v7, v11, v8, v9, v12, 0, 3, 2, 4, 1) -> f_140(v7, v11, v8, v9, v12, 0, 3, 2, 4, 1) :|: 0 = 0 6.25/2.56 f_140(v7, v11, v8, v9, v12, 0, 3, 2, 4, 1) -> f_142(v7, v11, v8, v9, v12, 0, 3, 4, 1) :|: 3 <= v7 6.25/2.56 f_142(v7, v11, v8, v9, v12, 0, 3, 4, 1) -> f_144(v7, v11, 0, v8, v9, v12, 3, 4, 1) :|: 0 = 0 6.25/2.56 f_144(v7, v11, 0, v8, v9, v12, 3, 4, 1) -> f_146(v7, v11, 0, v8, v9, v12, 3, 4, 1) :|: TRUE 6.25/2.56 f_146(v7, v11, 0, v8, v9, v12, 3, 4, 1) -> f_148(v7, v11, 0, v8, v9, v12, 3, 4, 1) :|: 0 = 0 6.25/2.56 f_148(v7, v11, 0, v8, v9, v12, 3, 4, 1) -> f_150(v7, v11, 0, v18, v8, v9, v12, 3, 1, 4, 2) :|: 1 + v18 = v7 && 2 <= v18 && v18 <= 3 6.25/2.56 f_150(v7, v11, 0, v18, v8, v9, v12, 3, 1, 4, 2) -> f_152(v7, v11, 0, v18, v8, v9, v12, 3, 1, 4, 2) :|: TRUE 6.25/2.56 f_152(v7, v11, 0, v18, v8, v9, v12, 3, 1, 4, 2) -> f_154(v7, v11, 0, v18, v8, v9, v12, 3, 1, 4, 2) :|: 0 = 0 6.25/2.56 f_154(v7, v11, 0, v18, v8, v9, v12, 3, 1, 4, 2) -> f_155(v18, v8, v9, v11, v12, 0, v7, 3, 1, 4, 2) :|: 0 = 0 6.25/2.56 f_155(v18, v8, v9, v11, v12, 0, v7, 3, 1, 4, 2) -> f_156(v18, v8, v9, v11, v12, 0, 3, 1, 4, 2) :|: TRUE 6.25/2.56 f_156(v18, v8, v9, v11, v12, 0, 3, 1, 4, 2) -> f_157(v18, v20, v8, v9, v11, v12, v21, 0, 3, 1, 4, 2) :|: 1 <= v20 && v21 = 3 + v20 && 4 <= v21 6.25/2.56 f_157(v18, v20, v8, v9, v11, v12, v21, 0, 3, 1, 4, 2) -> f_158(v18, v20, v8, v9, v11, v12, v21, 0, 3, 1, 4, 2) :|: TRUE 6.25/2.56 f_158(v18, v20, v8, v9, v11, v12, v21, 0, 3, 1, 4, 2) -> f_159(v18, v20, v8, v9, v11, v12, v21, 0, 3, 1, 4, 2) :|: 0 = 0 6.25/2.56 f_159(v18, v20, v8, v9, v11, v12, v21, 0, 3, 1, 4, 2) -> f_161(3, v20, v8, v9, v11, v12, v21, 0, 1, 4) :|: 3 <= v18 6.25/2.56 f_161(3, v20, v8, v9, v11, v12, v21, 0, 1, 4) -> f_163(3, v20, 0, v8, v9, v11, v12, v21, 1, 4) :|: 0 = 0 6.25/2.56 f_163(3, v20, 0, v8, v9, v11, v12, v21, 1, 4) -> f_165(3, v20, 0, v8, v9, v11, v12, v21, 1, 4) :|: TRUE 6.25/2.56 f_165(3, v20, 0, v8, v9, v11, v12, v21, 1, 4) -> f_167(3, v20, 0, v8, v9, v11, v12, v21, 1, 4) :|: 0 = 0 6.25/2.56 f_167(3, v20, 0, v8, v9, v11, v12, v21, 1, 4) -> f_169(3, v20, 0, 2, v8, v9, v11, v12, v21, 1, 4) :|: 0 = 0 6.25/2.56 f_169(3, v20, 0, 2, v8, v9, v11, v12, v21, 1, 4) -> f_171(3, v20, 0, 2, v8, v9, v11, v12, v21, 1, 4) :|: TRUE 6.25/2.56 f_171(3, v20, 0, 2, v8, v9, v11, v12, v21, 1, 4) -> f_173(3, v20, 0, 2, v8, v9, v11, v12, v21, 1, 4) :|: 0 = 0 6.25/2.56 f_173(3, v20, 0, 2, v8, v9, v11, v12, v21, 1, 4) -> f_175(2, v8, v9, v11, v12, v20, v21, 0, 3, 1, 4) :|: 0 = 0 6.25/2.56 f_175(2, v8, v9, v11, v12, v20, v21, 0, 3, 1, 4) -> f_176(2, v8, v9, v11, v12, v20, v21, 0, 3, 1, 4) :|: TRUE 6.25/2.56 f_176(2, v8, v9, v11, v12, v20, v21, 0, 3, 1, 4) -> f_137(2, v8, v9, 0, 3, 2, 4, 1) :|: TRUE 6.25/2.56 f_137(v7, v8, v9, 0, 3, 2, 4, 1) -> f_138(v7, v11, v8, v9, v12, 0, 3, 2, 4, 1) :|: 1 <= v11 && v12 = 3 + v11 && 4 <= v12 6.25/2.56 Combined rules. Obtained 1 rulesP rules: 6.25/2.56 f_138(1 + v18:0, v11:0, v8:0, v9:0, v12:0, 0, 3, 2, 4, 1) -> f_138(2, v11:1, v8:0, v9:0, 3 + v11:1, 0, 3, 2, 4, 1) :|: v18:0 > 2 && v18:0 < 4 && v20:0 > 0 && v11:1 > 0 6.25/2.56 Filtered unneeded arguments: 6.25/2.56 f_138(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f_138(x1) 6.25/2.56 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 6.25/2.56 f_138(sum~cons_1~v18:0) -> f_138(2) :|: v18:0 > 2 && v18:0 < 4 && sum~cons_1~v18:0 = 1 + v18:0 6.25/2.56 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (8) 6.25/2.56 Obligation: 6.25/2.56 Rules: 6.25/2.56 f_138(sum~cons_1~v18:0) -> f_138(2) :|: v18:0 > 2 && v18:0 < 4 && sum~cons_1~v18:0 = 1 + v18:0 6.25/2.56 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (9) TerminationGraphProcessor (EQUIVALENT) 6.25/2.56 Constructed the termination graph and obtained no non-trivial SCC(s). 6.25/2.56 6.25/2.56 ---------------------------------------- 6.25/2.56 6.25/2.56 (10) 6.25/2.56 YES 6.49/2.62 EOF