/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 176 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 6172 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 136 ms] (8) IntTRS (9) PolynomialOrderProcessor [EQUIVALENT, 6 ms] (10) 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: "f" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %2 = alloca i32, align 4 %x_ref = alloca *i32, align 8 %y_ref = alloca *i32, align 8 %flag = alloca *i32, align 8 %c = alloca *i32, align 8 store %x, %1 store %y, %2 %3 = alloca i8, numElementsLit: 4 %4 = bitcast *i8 %3 to *i32 store %4, %x_ref %5 = alloca i8, numElementsLit: 4 %6 = bitcast *i8 %5 to *i32 store %6, %y_ref %7 = alloca i8, numElementsLit: 4 %8 = bitcast *i8 %7 to *i32 store %8, %flag %9 = alloca i8, numElementsLit: 4 %10 = bitcast *i8 %9 to *i32 store %10, %c %11 = load %1 %12 = load %x_ref store %11, %12 %13 = load %2 %14 = load %y_ref store %13, %14 %15 = load %flag store 1, %15 %16 = load %c store 0, %16 br %17 17: %18 = load %flag %19 = load %18 %20 = icmp ne %19 0 br %20, %21, %34 21: %22 = load %x_ref %23 = load %22 %24 = add %23 1 store %24, %22 %25 = load %y_ref %26 = load %25 %27 = icmp slt %23 %26 %28 = zext i1 %27 to i32 %29 = load %flag store %28, %29 %30 = load %c %31 = load %30 %32 = add %31 1 %33 = load %c store %32, %33 br %17 34: %35 = load %c %36 = load %35 ret %36 *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 @f(i32 %2, i32 %3) ret %4 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 22 rulesP rules: f_452(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_453(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_453(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_454(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_454(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_455(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: TRUE f_455(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_456(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_456(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_457(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_457(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_458(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: v351 = 1 + v335 f_458(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_459(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: TRUE f_459(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_460(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_460(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_461(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_461(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_462(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: v335 < v322 f_462(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_464(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_464(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_466(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_466(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_468(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_468(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_470(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: TRUE f_470(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_472(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_472(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_474(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 f_474(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_476(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) :|: v353 = 1 + v337 && 2 <= v353 f_476(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) -> f_478(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) :|: 0 = 0 f_478(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) -> f_480(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) :|: TRUE f_480(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) -> f_482(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) :|: TRUE f_482(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8, 2) -> f_451(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v335, v351, v337, v353, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: TRUE f_451(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) -> f_452(v321, v322, v323, v324, v325, v326, v327, v328, v329, v330, v331, v332, 1, v334, v335, v336, v337, v338, v339, v340, v341, v342, v343, v344, v345, v346, v347, v348, v349, 0, 3, 7, 4, 8) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_452(v321:0, v322:0, v323:0, v324:0, v325:0, v326:0, v327:0, v328:0, v329:0, v330:0, v331:0, v332:0, 1, v334:0, v335:0, v336:0, v337:0, v338:0, v339:0, v340:0, v341:0, v342:0, v343:0, v344:0, v345:0, v346:0, v347:0, v348:0, v349:0, 0, 3, 7, 4, 8) -> f_452(v321:0, v322:0, v323:0, v324:0, v325:0, v326:0, v327:0, v328:0, v329:0, v330:0, v331:0, v332:0, 1, v335:0, 1 + v335:0, v337:0, 1 + v337:0, v338:0, v339:0, v340:0, v341:0, v342:0, v343:0, v344:0, v345:0, v346:0, v347:0, v348:0, v349:0, 0, 3, 7, 4, 8) :|: v337:0 > 0 && v335:0 < v322:0 Filtered unneeded arguments: f_452(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34) -> f_452(x2, x15, x17) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_452(v322:0, v335:0, v337:0) -> f_452(v322:0, 1 + v335:0, 1 + v337:0) :|: v337:0 > 0 && v335:0 < v322:0 ---------------------------------------- (8) Obligation: Rules: f_452(v322:0, v335:0, v337:0) -> f_452(v322:0, 1 + v335:0, 1 + v337:0) :|: v337:0 > 0 && v335:0 < v322:0 ---------------------------------------- (9) PolynomialOrderProcessor (EQUIVALENT) Found the following polynomial interpretation: [f_452(x, x1, x2)] = x - x1 The following rules are decreasing: f_452(v322:0, v335:0, v337:0) -> f_452(v322:0, 1 + v335:0, 1 + v337:0) :|: v337:0 > 0 && v335:0 < v322:0 The following rules are bounded: f_452(v322:0, v335:0, v337:0) -> f_452(v322:0, 1 + v335:0, 1 + v337:0) :|: v337:0 > 0 && v335:0 < v322:0 ---------------------------------------- (10) YES