29.58/10.35 YES 29.58/10.37 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 29.58/10.37 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.58/10.37 29.58/10.37 29.58/10.37 Termination of the given C Problem could be proven: 29.58/10.37 29.58/10.37 (0) C Problem 29.58/10.37 (1) CToLLVMProof [EQUIVALENT, 170 ms] 29.58/10.37 (2) LLVM problem 29.58/10.37 (3) LLVMToTerminationGraphProof [EQUIVALENT, 6234 ms] 29.58/10.37 (4) LLVM Symbolic Execution Graph 29.58/10.37 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 29.58/10.37 (6) LLVM Symbolic Execution SCC 29.58/10.37 (7) SCC2IRS [SOUND, 104 ms] 29.58/10.37 (8) IntTRS 29.58/10.37 (9) PolynomialOrderProcessor [EQUIVALENT, 10 ms] 29.58/10.37 (10) YES 29.58/10.37 29.58/10.37 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (0) 29.58/10.37 Obligation: 29.58/10.37 c file /export/starexec/sandbox/benchmark/theBenchmark.c 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (1) CToLLVMProof (EQUIVALENT) 29.58/10.37 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (2) 29.58/10.37 Obligation: 29.58/10.37 LLVM Problem 29.58/10.37 29.58/10.37 Aliases: 29.58/10.37 29.58/10.37 Data layout: 29.58/10.37 29.58/10.37 "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" 29.58/10.37 29.58/10.37 Machine: 29.58/10.37 29.58/10.37 "x86_64-pc-linux-gnu" 29.58/10.37 29.58/10.37 Type definitions: 29.58/10.37 29.58/10.37 Global variables: 29.58/10.37 29.58/10.37 Function declarations and definitions: 29.58/10.37 29.58/10.37 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 29.58/10.37 *BasicFunctionTypename: "f" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 29.58/10.37 0: 29.58/10.37 %1 = alloca i32, align 4 29.58/10.37 %2 = alloca i32, align 4 29.58/10.37 %x_ref = alloca *i32, align 8 29.58/10.37 %y_ref = alloca *i32, align 8 29.58/10.37 %flag = alloca *i32, align 8 29.58/10.37 %c = alloca *i32, align 8 29.58/10.37 store %x, %1 29.58/10.37 store %y, %2 29.58/10.37 %3 = alloca i8, numElementsLit: 4 29.58/10.37 %4 = bitcast *i8 %3 to *i32 29.58/10.37 store %4, %x_ref 29.58/10.37 %5 = alloca i8, numElementsLit: 4 29.58/10.37 %6 = bitcast *i8 %5 to *i32 29.58/10.37 store %6, %y_ref 29.58/10.37 %7 = alloca i8, numElementsLit: 4 29.58/10.37 %8 = bitcast *i8 %7 to *i32 29.58/10.37 store %8, %flag 29.58/10.37 %9 = alloca i8, numElementsLit: 4 29.58/10.37 %10 = bitcast *i8 %9 to *i32 29.58/10.37 store %10, %c 29.58/10.37 %11 = load %1 29.58/10.37 %12 = load %x_ref 29.58/10.37 store %11, %12 29.58/10.37 %13 = load %2 29.58/10.37 %14 = load %y_ref 29.58/10.37 store %13, %14 29.58/10.37 %15 = load %flag 29.58/10.37 store 1, %15 29.58/10.37 %16 = load %c 29.58/10.37 store 0, %16 29.58/10.37 br %17 29.58/10.37 17: 29.58/10.37 %18 = load %flag 29.58/10.37 %19 = load %18 29.58/10.37 %20 = icmp ne %19 0 29.58/10.37 br %20, %21, %34 29.58/10.37 21: 29.58/10.37 %22 = load %x_ref 29.58/10.37 %23 = load %22 29.58/10.37 %24 = add %23 1 29.58/10.37 store %24, %22 29.58/10.37 %25 = load %y_ref 29.58/10.37 %26 = load %25 29.58/10.37 %27 = icmp slt %23 %26 29.58/10.37 %28 = zext i1 %27 to i32 29.58/10.37 %29 = load %flag 29.58/10.37 store %28, %29 29.58/10.37 %30 = load %c 29.58/10.37 %31 = load %30 29.58/10.37 %32 = add %31 1 29.58/10.37 %33 = load %c 29.58/10.37 store %32, %33 29.58/10.37 br %17 29.58/10.37 34: 29.58/10.37 %35 = load %c 29.58/10.37 %36 = load %35 29.58/10.37 ret %36 29.58/10.37 29.58/10.37 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 29.58/10.37 0: 29.58/10.37 %1 = alloca i32, align 4 29.58/10.37 store 0, %1 29.58/10.37 %2 = call i32 @__VERIFIER_nondet_int() 29.58/10.37 %3 = call i32 @__VERIFIER_nondet_int() 29.58/10.37 %4 = call i32 @f(i32 %2, i32 %3) 29.58/10.37 ret %4 29.58/10.37 29.58/10.37 29.58/10.37 Analyze Termination of all function calls matching the pattern: 29.58/10.37 main() 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (3) LLVMToTerminationGraphProof (EQUIVALENT) 29.58/10.37 Constructed symbolic execution graph for LLVM program and proved memory safety. 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (4) 29.58/10.37 Obligation: 29.58/10.37 SE Graph 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (5) SymbolicExecutionGraphToSCCProof (SOUND) 29.58/10.37 Splitted symbolic execution graph to 1 SCC. 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (6) 29.58/10.37 Obligation: 29.58/10.37 SCC 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (7) SCC2IRS (SOUND) 29.58/10.37 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 29.58/10.37 Generated rules. Obtained 22 rulesP rules: 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 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 29.58/10.37 Combined rules. Obtained 1 rulesP rules: 29.58/10.37 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 29.58/10.37 Filtered unneeded arguments: 29.58/10.37 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) 29.58/10.37 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 29.58/10.37 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 29.58/10.37 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (8) 29.58/10.37 Obligation: 29.58/10.37 Rules: 29.58/10.37 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 29.58/10.37 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (9) PolynomialOrderProcessor (EQUIVALENT) 29.58/10.37 Found the following polynomial interpretation: 29.58/10.37 [f_452(x, x1, x2)] = x - x1 29.58/10.37 29.58/10.37 The following rules are decreasing: 29.58/10.37 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 29.58/10.37 The following rules are bounded: 29.58/10.37 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 29.58/10.37 29.58/10.37 ---------------------------------------- 29.58/10.37 29.58/10.37 (10) 29.58/10.37 YES 30.32/10.47 EOF