/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 178 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 988 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 93 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) PolynomialOrderProcessor [EQUIVALENT, 1 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox/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: "malloc" returnParam: *i8 parameters: (i64) variableLength: false visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "__VERIFIER_nondet_String" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %length = alloca i32, align 4 %nondetString = alloca *i8, align 8 %1 = call i32 @__VERIFIER_nondet_int() store %1, %length %2 = load %length %3 = icmp slt %2 1 br %3, %4, %5 4: store 1, %length br %5 5: %6 = load %length %7 = sext i32 %6 to i64 %8 = mul %7 1 %9 = call *i8 @malloc(i64 %8) store %9, %nondetString %10 = load %length %11 = sub %10 1 %12 = sext i32 %11 to i64 %13 = load %nondetString %14 = getelementptr %13, %12 store 0, %14 %15 = load %nondetString ret %15 *BasicFunctionTypename: "cstrchr" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (s *i8, c i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca *i8, align 8 %2 = alloca i32, align 4 store %s, %1 store %c, %2 br %3 3: %4 = load %1 %5 = load %4 %6 = sext i8 %5 to i32 %7 = icmp ne %6 0 br %7, %8, %16 8: %9 = load %1 %10 = load %9 %11 = sext i8 %10 to i32 %12 = load %2 %13 = trunc i32 %12 to i8 %14 = sext i8 %13 to i32 %15 = icmp ne %11 %14 br %16 16: %17 = phi [0, %3], [%15, %8] br %17, %18, %21 18: %19 = load %1 %20 = getelementptr %19, 1 store %20, %1 br %3 21: %22 = load %1 %23 = load %22 %24 = sext i8 %23 to i32 %25 = load %2 %26 = icmp eq %24 %25 br %26, %27, %29 27: %28 = load %1 br %30 29: br %30 30: %31 = phi [%28, %27], [null, %29] ret %31 *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 *i8 @__VERIFIER_nondet_String() %3 = call i32 @__VERIFIER_nondet_int() %4 = call *i8 @cstrchr(*i8 %2, i32 %3) ret 0 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 21 rulesP rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Combined rules. Obtained 4 rulesP rules: 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 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 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 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 Filtered unneeded arguments: 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) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_358(v267:0, v270:0) -> f_358(1 + v267:0, v270:0) :|: v270:0 > 2 && v267:0 > 1 && v270:0 > v267:0 ---------------------------------------- (8) Obligation: Rules: f_358(v267:0, v270:0) -> f_358(1 + v267:0, v270:0) :|: v270:0 > 2 && v267:0 > 1 && v270:0 > v267:0 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (10) Obligation: Rules: 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 ---------------------------------------- (11) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_358(x, x1)] = -1 - x + x1 The following rules are decreasing: 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 The following rules are bounded: 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 ---------------------------------------- (12) YES