/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.c # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 179 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 710 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 0 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) PolynomialOrderProcessor [EQUIVALENT, 9 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. ---------------------------------------- (2) Obligation: LLVM Problem Aliases: Data layout: "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" Machine: "x86_64-pc-linux-gnu" Type definitions: Global variables: Function declarations and definitions: *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %2 = alloca i32, align 4 %3 = alloca i32, align 4 %4 = alloca i32, align 4 store %x, %2 store %y, %3 store %z, %4 %5 = load %3 %6 = icmp sle %5 0 br %6, %7, %9 7: %8 = load %4 store %8, %1 br %25 9: br %10 10: %11 = load %2 %12 = load %4 %13 = icmp sge %11 %12 br %13, %14, %23 14: %15 = load %3 %16 = icmp sle %15 0 br %16, %17, %19 17: %18 = load %4 store %18, %1 br %25 19: %20 = load %4 %21 = load %3 %22 = add %20 %21 store %22, %4 br %10 23: %24 = load %4 store %24, %1 br %25 25: %26 = load %1 ret %26 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() %3 = call i32 @__VERIFIER_nondet_int() %4 = call i32 @__VERIFIER_nondet_int() %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) ret %5 Analyze Termination of all function calls matching the pattern: main() ---------------------------------------- (3) LLVMToTerminationGraphProof (EQUIVALENT) Constructed symbolic execution graph for LLVM program and proved memory safety. ---------------------------------------- (4) Obligation: SE Graph ---------------------------------------- (5) SymbolicExecutionGraphToSCCProof (SOUND) Splitted symbolic execution graph to 1 SCC. ---------------------------------------- (6) Obligation: SCC ---------------------------------------- (7) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 14 rulesP rules: f_197(v33, v34, v35, v36, v37, v38, v39, 0, v41, 1, v43, v44, v45, v46, v47, v48, v49, 3, 4) -> f_198(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 f_198(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_199(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: v43 <= v33 f_199(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_201(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 f_201(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_203(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: TRUE f_203(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_205(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 f_205(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_207(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 f_207(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_209(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) :|: TRUE f_209(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v41, v44, v45, v46, v47, v48, v49, 3, 4) -> f_211(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 f_211(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v44, v45, v46, v47, v48, v49, 3, 4) -> f_213(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 f_213(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v44, v45, v46, v47, v48, v49, 3, 4) -> f_215(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) :|: v60 = v43 + v34 f_215(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) -> f_216(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) :|: TRUE f_216(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) -> f_217(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) :|: TRUE f_217(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) -> f_196(v33, v34, v35, v36, v37, v38, v39, 0, v43, 1, v60, v44, v45, v46, v47, v48, v49, 3, 4) :|: v35 <= v33 && v43 <= v33 && 1 <= v34 && 1 <= v36 && 1 <= v37 && 1 <= v38 && 1 <= v39 && 1 <= v44 && 4 <= v45 && 4 <= v46 && 4 <= v47 && 4 <= v48 && 4 <= v49 && v44 <= v45 && v36 <= v46 && v37 <= v47 && v38 <= v48 && v39 <= v49 f_196(v33, v34, v35, v36, v37, v38, v39, 0, v41, 1, v43, v44, v45, v46, v47, v48, v49, 3, 4) -> f_197(v33, v34, v35, v36, v37, v38, v39, 0, v41, 1, v43, v44, v45, v46, v47, v48, v49, 3, 4) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_197(v33:0, v34:0, v35:0, v36:0, v37:0, v38:0, v39:0, 0, v41:0, 1, v43:0, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0, 3, 4) -> f_197(v33:0, v34:0, v35:0, v36:0, v37:0, v38:0, v39:0, 0, v43:0, 1, v43:0 + v34:0, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0, 3, 4) :|: v43:0 <= v33:0 && v35:0 <= v33:0 && v34:0 > 0 && v36:0 > 0 && v37:0 > 0 && v38:0 > 0 && v39:0 > 0 && v44:0 > 0 && v45:0 > 3 && v46:0 > 3 && v47:0 > 3 && v48:0 > 3 && v49:0 > 3 && v45:0 >= v44:0 && v46:0 >= v36:0 && v47:0 >= v37:0 && v49:0 >= v39:0 && v48:0 >= v38:0 Filtered unneeded arguments: f_197(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_197(x1, x2, x3, x4, x5, x6, x7, x11, x12, x13, x14, x15, x16, x17) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_197(v33:0, v34:0, v35:0, v36:0, v37:0, v38:0, v39:0, v43:0, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0) -> f_197(v33:0, v34:0, v35:0, v36:0, v37:0, v38:0, v39:0, v43:0 + v34:0, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0) :|: v35:0 <= v33:0 && v43:0 <= v33:0 && v34:0 > 0 && v36:0 > 0 && v37:0 > 0 && v38:0 > 0 && v39:0 > 0 && v44:0 > 0 && v45:0 > 3 && v46:0 > 3 && v47:0 > 3 && v48:0 > 3 && v49:0 > 3 && v45:0 >= v44:0 && v46:0 >= v36:0 && v47:0 >= v37:0 && v48:0 >= v38:0 && v49:0 >= v39:0 ---------------------------------------- (8) Obligation: Rules: f_197(v33:0, v34:0, v35:0, v36:0, v37:0, v38:0, v39:0, v43:0, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0) -> f_197(v33:0, v34:0, v35:0, v36:0, v37:0, v38:0, v39:0, v43:0 + v34:0, v44:0, v45:0, v46:0, v47:0, v48:0, v49:0) :|: v35:0 <= v33:0 && v43:0 <= v33:0 && v34:0 > 0 && v36:0 > 0 && v37:0 > 0 && v38:0 > 0 && v39:0 > 0 && v44:0 > 0 && v45:0 > 3 && v46:0 > 3 && v47:0 > 3 && v48:0 > 3 && v49:0 > 3 && v45:0 >= v44:0 && v46:0 >= v36:0 && v47:0 >= v37:0 && v48:0 >= v38:0 && v49:0 >= v39:0 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (10) Obligation: Rules: f_197(v33:0:0, v34:0:0, v35:0:0, v36:0:0, v37:0:0, v38:0:0, v39:0:0, v43:0:0, v44:0:0, v45:0:0, v46:0:0, v47:0:0, v48:0:0, v49:0:0) -> f_197(v33:0:0, v34:0:0, v35:0:0, v36:0:0, v37:0:0, v38:0:0, v39:0:0, v43:0:0 + v34:0:0, v44:0:0, v45:0:0, v46:0:0, v47:0:0, v48:0:0, v49:0:0) :|: v48:0:0 >= v38:0:0 && v49:0:0 >= v39:0:0 && v47:0:0 >= v37:0:0 && v46:0:0 >= v36:0:0 && v45:0:0 >= v44:0:0 && v49:0:0 > 3 && v48:0:0 > 3 && v47:0:0 > 3 && v46:0:0 > 3 && v45:0:0 > 3 && v44:0:0 > 0 && v39:0:0 > 0 && v38:0:0 > 0 && v37:0:0 > 0 && v36:0:0 > 0 && v34:0:0 > 0 && v43:0:0 <= v33:0:0 && v35:0:0 <= v33:0:0 ---------------------------------------- (11) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_197(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)] = x - x7 The following rules are decreasing: f_197(v33:0:0, v34:0:0, v35:0:0, v36:0:0, v37:0:0, v38:0:0, v39:0:0, v43:0:0, v44:0:0, v45:0:0, v46:0:0, v47:0:0, v48:0:0, v49:0:0) -> f_197(v33:0:0, v34:0:0, v35:0:0, v36:0:0, v37:0:0, v38:0:0, v39:0:0, v43:0:0 + v34:0:0, v44:0:0, v45:0:0, v46:0:0, v47:0:0, v48:0:0, v49:0:0) :|: v48:0:0 >= v38:0:0 && v49:0:0 >= v39:0:0 && v47:0:0 >= v37:0:0 && v46:0:0 >= v36:0:0 && v45:0:0 >= v44:0:0 && v49:0:0 > 3 && v48:0:0 > 3 && v47:0:0 > 3 && v46:0:0 > 3 && v45:0:0 > 3 && v44:0:0 > 0 && v39:0:0 > 0 && v38:0:0 > 0 && v37:0:0 > 0 && v36:0:0 > 0 && v34:0:0 > 0 && v43:0:0 <= v33:0:0 && v35:0:0 <= v33:0:0 The following rules are bounded: f_197(v33:0:0, v34:0:0, v35:0:0, v36:0:0, v37:0:0, v38:0:0, v39:0:0, v43:0:0, v44:0:0, v45:0:0, v46:0:0, v47:0:0, v48:0:0, v49:0:0) -> f_197(v33:0:0, v34:0:0, v35:0:0, v36:0:0, v37:0:0, v38:0:0, v39:0:0, v43:0:0 + v34:0:0, v44:0:0, v45:0:0, v46:0:0, v47:0:0, v48:0:0, v49:0:0) :|: v48:0:0 >= v38:0:0 && v49:0:0 >= v39:0:0 && v47:0:0 >= v37:0:0 && v46:0:0 >= v36:0:0 && v45:0:0 >= v44:0:0 && v49:0:0 > 3 && v48:0:0 > 3 && v47:0:0 > 3 && v46:0:0 > 3 && v45:0:0 > 3 && v44:0:0 > 0 && v39:0:0 > 0 && v38:0:0 > 0 && v37:0:0 > 0 && v36:0:0 > 0 && v34:0:0 > 0 && v43:0:0 <= v33:0:0 && v35:0:0 <= v33:0:0 ---------------------------------------- (12) YES