9.27/3.41 YES 9.27/3.43 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 9.27/3.43 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.27/3.43 9.27/3.43 9.27/3.43 Termination of the given C Problem could be proven: 9.27/3.43 9.27/3.43 (0) C Problem 9.27/3.43 (1) CToLLVMProof [EQUIVALENT, 173 ms] 9.27/3.43 (2) LLVM problem 9.27/3.43 (3) LLVMToTerminationGraphProof [EQUIVALENT, 871 ms] 9.27/3.43 (4) LLVM Symbolic Execution Graph 9.27/3.43 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 9.27/3.43 (6) LLVM Symbolic Execution SCC 9.27/3.43 (7) SCC2IRS [SOUND, 109 ms] 9.27/3.43 (8) IntTRS 9.27/3.43 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 9.27/3.43 (10) IntTRS 9.27/3.43 (11) PolynomialOrderProcessor [EQUIVALENT, 0 ms] 9.27/3.43 (12) YES 9.27/3.43 9.27/3.43 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (0) 9.27/3.43 Obligation: 9.27/3.43 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (1) CToLLVMProof (EQUIVALENT) 9.27/3.43 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (2) 9.27/3.43 Obligation: 9.27/3.43 LLVM Problem 9.27/3.43 9.27/3.43 Aliases: 9.27/3.43 9.27/3.43 Data layout: 9.27/3.43 9.27/3.43 "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" 9.27/3.43 9.27/3.43 Machine: 9.27/3.43 9.27/3.43 "x86_64-pc-linux-gnu" 9.27/3.43 9.27/3.43 Type definitions: 9.27/3.43 9.27/3.43 Global variables: 9.27/3.43 9.27/3.43 Function declarations and definitions: 9.27/3.43 9.27/3.43 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 9.27/3.43 *BasicFunctionTypename: "malloc" returnParam: *i8 parameters: (i64) variableLength: false visibilityType: DEFAULT callingConvention: ccc 9.27/3.43 *BasicFunctionTypename: "__VERIFIER_nondet_String" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 9.27/3.43 0: 9.27/3.43 %length = alloca i32, align 4 9.27/3.43 %nondetString = alloca *i8, align 8 9.27/3.43 %1 = call i32 @__VERIFIER_nondet_int() 9.27/3.43 store %1, %length 9.27/3.43 %2 = load %length 9.27/3.43 %3 = icmp slt %2 1 9.27/3.43 br %3, %4, %5 9.27/3.43 4: 9.27/3.43 store 1, %length 9.27/3.43 br %5 9.27/3.43 5: 9.27/3.43 %6 = load %length 9.27/3.43 %7 = sext i32 %6 to i64 9.27/3.43 %8 = mul %7 1 9.27/3.43 %9 = call *i8 @malloc(i64 %8) 9.27/3.43 store %9, %nondetString 9.27/3.43 %10 = load %length 9.27/3.43 %11 = sub %10 1 9.27/3.43 %12 = sext i32 %11 to i64 9.27/3.43 %13 = load %nondetString 9.27/3.43 %14 = getelementptr %13, %12 9.27/3.43 store 0, %14 9.27/3.43 %15 = load %nondetString 9.27/3.43 ret %15 9.27/3.43 9.27/3.43 *BasicFunctionTypename: "cstrchr" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (s *i8, c i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 9.27/3.43 0: 9.27/3.43 %1 = alloca *i8, align 8 9.27/3.43 %2 = alloca i32, align 4 9.27/3.43 store %s, %1 9.27/3.43 store %c, %2 9.27/3.43 br %3 9.27/3.43 3: 9.27/3.43 %4 = load %1 9.27/3.43 %5 = load %4 9.27/3.43 %6 = sext i8 %5 to i32 9.27/3.43 %7 = icmp ne %6 0 9.27/3.43 br %7, %8, %16 9.27/3.43 8: 9.27/3.43 %9 = load %1 9.27/3.43 %10 = load %9 9.27/3.43 %11 = sext i8 %10 to i32 9.27/3.43 %12 = load %2 9.27/3.43 %13 = trunc i32 %12 to i8 9.27/3.43 %14 = sext i8 %13 to i32 9.27/3.43 %15 = icmp ne %11 %14 9.27/3.43 br %16 9.27/3.43 16: 9.27/3.43 %17 = phi [0, %3], [%15, %8] 9.27/3.43 br %17, %18, %21 9.27/3.43 18: 9.27/3.43 %19 = load %1 9.27/3.43 %20 = getelementptr %19, 1 9.27/3.43 store %20, %1 9.27/3.43 br %3 9.27/3.43 21: 9.27/3.43 %22 = load %1 9.27/3.43 %23 = load %22 9.27/3.43 %24 = sext i8 %23 to i32 9.27/3.43 %25 = load %2 9.27/3.43 %26 = icmp eq %24 %25 9.27/3.43 br %26, %27, %29 9.27/3.43 27: 9.27/3.43 %28 = load %1 9.27/3.43 br %30 9.27/3.43 29: 9.27/3.43 br %30 9.27/3.43 30: 9.27/3.43 %31 = phi [%28, %27], [null, %29] 9.27/3.43 ret %31 9.27/3.43 9.27/3.43 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 9.27/3.43 0: 9.27/3.43 %1 = alloca i32, align 4 9.27/3.43 store 0, %1 9.27/3.43 %2 = call *i8 @__VERIFIER_nondet_String() 9.27/3.43 %3 = call i32 @__VERIFIER_nondet_int() 9.27/3.43 %4 = call *i8 @cstrchr(*i8 %2, i32 %3) 9.27/3.43 ret 0 9.27/3.43 9.27/3.43 9.27/3.43 Analyze Termination of all function calls matching the pattern: 9.27/3.43 main() 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (3) LLVMToTerminationGraphProof (EQUIVALENT) 9.27/3.43 Constructed symbolic execution graph for LLVM program and proved memory safety. 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (4) 9.27/3.43 Obligation: 9.27/3.43 SE Graph 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (5) SymbolicExecutionGraphToSCCProof (SOUND) 9.27/3.43 Splitted symbolic execution graph to 1 SCC. 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (6) 9.27/3.43 Obligation: 9.27/3.43 SCC 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (7) SCC2IRS (SOUND) 9.27/3.43 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 9.27/3.43 Generated rules. Obtained 21 rulesP rules: 9.27/3.43 f_358(v259, v260, v261, v262, v267, v264, 1, v263, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_359(v259, v260, v261, v262, v267, v275, v264, 1, v263, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_359(v259, v260, v261, v262, v267, v275, v264, 1, v263, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_360(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_360(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_361(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: v275 != 0 && v267 < v270 && 3 <= v270 9.27/3.43 f_361(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_363(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_363(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_365(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_365(v259, v260, v261, v262, v267, v275, 1, v263, v264, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_367(v259, v260, v261, v262, v267, v275, 1, v264, v266, v263, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_367(v259, v260, v261, v262, v267, v275, 1, v264, v266, v263, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_369(v259, v260, v261, v262, v267, v275, 1, v264, v266, v263, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_369(v259, v260, v261, v262, v267, v275, 1, v264, v266, v263, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_371(v259, v260, v261, v262, v267, v275, 1, v266, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_371(v259, v260, v261, v262, v267, v275, 1, v266, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_373(v259, v260, v261, v262, v267, v275, 1, v266, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_373(v259, v260, v261, v262, v267, v275, 1, v266, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_375(v259, v260, v261, v262, v267, v275, 1, v292, v266, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_375(v259, v260, v261, v262, v267, v275, 1, v292, v266, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_377(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_377(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_380(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: v275 != v292 9.27/3.43 f_380(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_384(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_384(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_388(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_388(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_392(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_392(v259, v260, v261, v262, v267, v275, 1, v292, v263, v268, v269, v270, v271, v272, v273, v264, 0, 3, 7, 2, 4, 8) -> f_396(v259, v260, v261, v262, v267, v275, 1, v292, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 f_396(v259, v260, v261, v262, v267, v275, 1, v292, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) -> f_399(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) :|: v370 = 1 + v267 && 3 <= v370 9.27/3.43 f_399(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) -> f_401(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_401(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) -> f_403(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_403(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, v263, v264, 0, 3, 7, 2, 4, 8) -> f_357(v259, v260, v261, v262, v267, v275, 1, v292, v370, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: TRUE 9.27/3.43 f_357(v259, v260, v261, v262, v263, v264, 1, v266, v267, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) -> f_358(v259, v260, v261, v262, v267, v264, 1, v263, v266, v268, v269, v270, v271, v272, v273, 0, 3, 7, 2, 4, 8) :|: 0 = 0 9.27/3.43 Combined rules. Obtained 4 rulesP rules: 9.27/3.43 f_358(v259:0, v260:0, v261:0, v262:0, v267:0, v264:0, 1, v263:0, v266:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) -> f_358(v259:0, v260:0, v261:0, v262:0, 1 + v267:0, v275:0, 1, v267:0, v292:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) :|: v270:0 > v267:0 && v275:0 < 0 && v270:0 > 2 && v267:0 > 1 && v292:0 > v275:0 9.27/3.43 f_358(v259:0, v260:0, v261:0, v262:0, v267:0, v264:0, 1, v263:0, v266:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) -> f_358(v259:0, v260:0, v261:0, v262:0, 1 + v267:0, v275:0, 1, v267:0, v292:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) :|: v270:0 > v267:0 && v275:0 < 0 && v270:0 > 2 && v267:0 > 1 && v292:0 < v275:0 9.27/3.43 f_358(v259:0, v260:0, v261:0, v262:0, v267:0, v264:0, 1, v263:0, v266:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) -> f_358(v259:0, v260:0, v261:0, v262:0, 1 + v267:0, v275:0, 1, v267:0, v292:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) :|: v270:0 > v267:0 && v275:0 > 0 && v270:0 > 2 && v267:0 > 1 && v292:0 > v275:0 9.27/3.43 f_358(v259:0, v260:0, v261:0, v262:0, v267:0, v264:0, 1, v263:0, v266:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) -> f_358(v259:0, v260:0, v261:0, v262:0, 1 + v267:0, v275:0, 1, v267:0, v292:0, v268:0, v269:0, v270:0, v271:0, v272:0, v273:0, 0, 3, 7, 2, 4, 8) :|: v270:0 > v267:0 && v275:0 > 0 && v270:0 > 2 && v267:0 > 1 && v292:0 < v275:0 9.27/3.43 Filtered unneeded arguments: 9.27/3.43 f_358(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_358(x5, x12) 9.27/3.43 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 9.27/3.43 f_358(v267:0, v270:0) -> f_358(1 + v267:0, v270:0) :|: v270:0 > 2 && v267:0 > 1 && v270:0 > v267:0 9.27/3.43 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (8) 9.27/3.43 Obligation: 9.27/3.43 Rules: 9.27/3.43 f_358(v267:0, v270:0) -> f_358(1 + v267:0, v270:0) :|: v270:0 > 2 && v267:0 > 1 && v270:0 > v267:0 9.27/3.43 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (9) IntTRSCompressionProof (EQUIVALENT) 9.27/3.43 Compressed rules. 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (10) 9.27/3.43 Obligation: 9.27/3.43 Rules: 9.27/3.43 f_358(v267:0:0, v270:0:0) -> f_358(1 + v267:0:0, v270:0:0) :|: v270:0:0 > 2 && v267:0:0 > 1 && v270:0:0 > v267:0:0 9.27/3.43 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (11) PolynomialOrderProcessor (EQUIVALENT) 9.27/3.43 Found the following polynomial interpretation: 9.27/3.43 [f_358(x, x1)] = -1 - x + x1 9.27/3.43 9.27/3.43 The following rules are decreasing: 9.27/3.43 f_358(v267:0:0, v270:0:0) -> f_358(1 + v267:0:0, v270:0:0) :|: v270:0:0 > 2 && v267:0:0 > 1 && v270:0:0 > v267:0:0 9.27/3.43 The following rules are bounded: 9.27/3.43 f_358(v267:0:0, v270:0:0) -> f_358(1 + v267:0:0, v270:0:0) :|: v270:0:0 > 2 && v267:0:0 > 1 && v270:0:0 > v267:0:0 9.27/3.43 9.27/3.43 ---------------------------------------- 9.27/3.43 9.27/3.43 (12) 9.27/3.43 YES 9.63/3.46 EOF