124.48/89.57 YES 124.48/89.58 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 124.48/89.58 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 124.48/89.58 124.48/89.58 124.48/89.58 Termination of the given C Problem could be proven: 124.48/89.58 124.48/89.58 (0) C Problem 124.48/89.58 (1) CToLLVMProof [EQUIVALENT, 173 ms] 124.48/89.58 (2) LLVM problem 124.48/89.58 (3) LLVMToTerminationGraphProof [EQUIVALENT, 86.3 s] 124.48/89.58 (4) LLVM Symbolic Execution Graph 124.48/89.58 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 124.48/89.58 (6) LLVM Symbolic Execution SCC 124.48/89.58 (7) SCC2IRS [SOUND, 116 ms] 124.48/89.58 (8) IntTRS 124.48/89.58 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 124.48/89.58 (10) IntTRS 124.48/89.58 (11) PolynomialOrderProcessor [EQUIVALENT, 12 ms] 124.48/89.58 (12) YES 124.48/89.58 124.48/89.58 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (0) 124.48/89.58 Obligation: 124.48/89.58 c file /export/starexec/sandbox/benchmark/theBenchmark.c 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (1) CToLLVMProof (EQUIVALENT) 124.48/89.58 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (2) 124.48/89.58 Obligation: 124.48/89.58 LLVM Problem 124.48/89.58 124.48/89.58 Aliases: 124.48/89.58 124.48/89.58 Data layout: 124.48/89.58 124.48/89.58 "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" 124.48/89.58 124.48/89.58 Machine: 124.48/89.58 124.48/89.58 "x86_64-pc-linux-gnu" 124.48/89.58 124.48/89.58 Type definitions: 124.48/89.58 124.48/89.58 Global variables: 124.48/89.58 124.48/89.58 Function declarations and definitions: 124.48/89.58 124.48/89.58 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 124.48/89.58 *BasicFunctionTypename: "cstpcpy" linkageType: EXTERNALLY_VISIBLE returnParam: *i8 parameters: (to *i8, from *i8) variableLength: false visibilityType: DEFAULT callingConvention: ccc 124.48/89.58 0: 124.48/89.58 %1 = alloca *i8, align 8 124.48/89.58 %2 = alloca *i8, align 8 124.48/89.58 store %to, %1 124.48/89.58 store %from, %2 124.48/89.58 br %3 124.48/89.58 3: 124.48/89.58 %4 = load %2 124.48/89.58 %5 = load %4 124.48/89.58 %6 = load %1 124.48/89.58 store %5, %6 124.48/89.58 %7 = sext i8 %5 to i32 124.48/89.58 %8 = icmp ne %7 0 124.48/89.58 br %8, %9, %15 124.48/89.58 9: 124.48/89.58 br %10 124.48/89.58 10: 124.48/89.58 %11 = load %2 124.48/89.58 %12 = getelementptr %11, 1 124.48/89.58 store %12, %2 124.48/89.58 %13 = load %1 124.48/89.58 %14 = getelementptr %13, 1 124.48/89.58 store %14, %1 124.48/89.58 br %3 124.48/89.58 15: 124.48/89.58 %16 = load %1 124.48/89.58 ret %16 124.48/89.58 124.48/89.58 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 124.48/89.58 0: 124.48/89.58 %1 = alloca i32, align 4 124.48/89.58 %length1 = alloca i32, align 4 124.48/89.58 %length2 = alloca i32, align 4 124.48/89.58 %nondetArea = alloca *i8, align 8 124.48/89.58 %nondetString = alloca *i8, align 8 124.48/89.58 store 0, %1 124.48/89.58 %2 = call i32 @__VERIFIER_nondet_int() 124.48/89.58 store %2, %length1 124.48/89.58 %3 = call i32 @__VERIFIER_nondet_int() 124.48/89.58 store %3, %length2 124.48/89.58 %4 = load %length1 124.48/89.58 %5 = icmp slt %4 1 124.48/89.58 br %5, %6, %7 124.48/89.58 6: 124.48/89.58 store 1, %length1 124.48/89.58 br %7 124.48/89.58 7: 124.48/89.58 %8 = load %length2 124.48/89.58 %9 = icmp slt %8 1 124.48/89.58 br %9, %10, %11 124.48/89.58 10: 124.48/89.58 store 1, %length2 124.48/89.58 br %11 124.48/89.58 11: 124.48/89.58 %12 = load %length1 124.48/89.58 %13 = load %length2 124.48/89.58 %14 = icmp slt %12 %13 124.48/89.58 br %14, %15, %16 124.48/89.58 15: 124.48/89.58 store 0, %1 124.48/89.58 br %33 124.48/89.58 16: 124.48/89.58 %17 = load %length1 124.48/89.58 %18 = sext i32 %17 to i64 124.48/89.58 %19 = mul %18 1 124.48/89.58 %20 = alloca i8, numElementsLit: %19 124.48/89.58 store %20, %nondetArea 124.48/89.58 %21 = load %length2 124.48/89.58 %22 = sext i32 %21 to i64 124.48/89.58 %23 = mul %22 1 124.48/89.58 %24 = alloca i8, numElementsLit: %23 124.48/89.58 store %24, %nondetString 124.48/89.58 %25 = load %length2 124.48/89.58 %26 = sub %25 1 124.48/89.58 %27 = sext i32 %26 to i64 124.48/89.58 %28 = load %nondetString 124.48/89.58 %29 = getelementptr %28, %27 124.48/89.58 store 0, %29 124.48/89.58 %30 = load %nondetArea 124.48/89.58 %31 = load %nondetString 124.48/89.58 %32 = call *i8 @cstpcpy(*i8 %30, *i8 %31) 124.48/89.58 store 0, %1 124.48/89.58 br %33 124.48/89.58 33: 124.48/89.58 %34 = load %1 124.48/89.58 ret %34 124.48/89.58 124.48/89.58 124.48/89.58 Analyze Termination of all function calls matching the pattern: 124.48/89.58 main() 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (3) LLVMToTerminationGraphProof (EQUIVALENT) 124.48/89.58 Constructed symbolic execution graph for LLVM program and proved memory safety. 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (4) 124.48/89.58 Obligation: 124.48/89.58 SE Graph 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (5) SymbolicExecutionGraphToSCCProof (SOUND) 124.48/89.58 Splitted symbolic execution graph to 1 SCC. 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (6) 124.48/89.58 Obligation: 124.48/89.58 SCC 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (7) SCC2IRS (SOUND) 124.48/89.58 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 124.48/89.58 Generated rules. Obtained 17 rulesP rules: 124.48/89.58 f_491(v410, v411, v412, v413, v418, v415, v416, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_492(v410, v411, v412, v413, v418, v439, v416, v415, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_492(v410, v411, v412, v413, v418, v439, v416, v415, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_493(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0 124.48/89.58 f_493(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_494(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_494(v410, v411, v412, v413, v418, v439, v419, v415, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_495(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0 124.48/89.58 f_495(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_496(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: v439 != 0 && v418 < v429 && 3 <= v429 124.48/89.58 f_496(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_498(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0 124.48/89.58 f_498(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_500(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_500(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_502(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_502(v410, v411, v412, v413, v418, v439, v419, 1, v414, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_504(v410, v411, v412, v413, v418, v439, v419, 1, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0 124.48/89.58 f_504(v410, v411, v412, v413, v418, v439, v419, 1, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_506(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: v457 = 1 + v418 && 3 <= v457 124.48/89.58 f_506(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_508(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_508(v410, v411, v412, v413, v418, v439, v419, 1, v457, v416, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_510(v410, v411, v412, v413, v418, v439, v419, 1, v457, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0 124.48/89.58 f_510(v410, v411, v412, v413, v418, v439, v419, 1, v457, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_512(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: v493 = 1 + v419 && 3 <= v493 && 3 <= v435 124.48/89.58 f_512(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_513(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_513(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_514(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_514(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, v414, v415, v416, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_490(v410, v411, v412, v413, v418, v439, v419, 1, v457, v493, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: TRUE 124.48/89.58 f_490(v410, v411, v412, v413, v414, v415, v416, 1, v418, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) -> f_491(v410, v411, v412, v413, v418, v415, v416, 1, v414, v419, v420, v430, v421, v431, v422, v432, v423, v433, v424, v434, v435, v429, v436, v437, v438, 0, v425, v426, v428, 3, 7, 2, 4, 8) :|: 0 = 0 124.48/89.58 Combined rules. Obtained 2 rulesP rules: 124.48/89.58 f_491(v410:0, v411:0, v412:0, v413:0, v418:0, v415:0, v416:0, 1, v414:0, v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) -> f_491(v410:0, v411:0, v412:0, v413:0, 1 + v418:0, v439:0, v419:0, 1, v418:0, 1 + v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) :|: v429:0 > v418:0 && v439:0 < 0 && v429:0 > 2 && v418:0 > 1 && v435:0 > 2 && v419:0 > 1 124.48/89.58 f_491(v410:0, v411:0, v412:0, v413:0, v418:0, v415:0, v416:0, 1, v414:0, v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) -> f_491(v410:0, v411:0, v412:0, v413:0, 1 + v418:0, v439:0, v419:0, 1, v418:0, 1 + v419:0, v420:0, v430:0, v421:0, v431:0, v422:0, v432:0, v423:0, v433:0, v424:0, v434:0, v435:0, v429:0, v436:0, v437:0, v438:0, 0, v425:0, v426:0, v428:0, 3, 7, 2, 4, 8) :|: v429:0 > v418:0 && v439:0 > 0 && v429:0 > 2 && v418:0 > 1 && v435:0 > 2 && v419:0 > 1 124.48/89.58 Filtered unneeded arguments: 124.48/89.58 f_491(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_491(x5, x10, x21, x22) 124.48/89.58 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 124.48/89.58 f_491(v418:0, v419:0, v435:0, v429:0) -> f_491(1 + v418:0, 1 + v419:0, v435:0, v429:0) :|: v429:0 > 2 && v429:0 > v418:0 && v418:0 > 1 && v419:0 > 1 && v435:0 > 2 124.48/89.58 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (8) 124.48/89.58 Obligation: 124.48/89.58 Rules: 124.48/89.58 f_491(v418:0, v419:0, v435:0, v429:0) -> f_491(1 + v418:0, 1 + v419:0, v435:0, v429:0) :|: v429:0 > 2 && v429:0 > v418:0 && v418:0 > 1 && v419:0 > 1 && v435:0 > 2 124.48/89.58 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (9) IntTRSCompressionProof (EQUIVALENT) 124.48/89.58 Compressed rules. 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (10) 124.48/89.58 Obligation: 124.48/89.58 Rules: 124.48/89.58 f_491(v418:0:0, v419:0:0, v435:0:0, v429:0:0) -> f_491(1 + v418:0:0, 1 + v419:0:0, v435:0:0, v429:0:0) :|: v419:0:0 > 1 && v435:0:0 > 2 && v418:0:0 > 1 && v429:0:0 > v418:0:0 && v429:0:0 > 2 124.48/89.58 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (11) PolynomialOrderProcessor (EQUIVALENT) 124.48/89.58 Found the following polynomial interpretation: 124.48/89.58 [f_491(x, x1, x2, x3)] = -x + x3 124.48/89.58 124.48/89.58 The following rules are decreasing: 124.48/89.58 f_491(v418:0:0, v419:0:0, v435:0:0, v429:0:0) -> f_491(1 + v418:0:0, 1 + v419:0:0, v435:0:0, v429:0:0) :|: v419:0:0 > 1 && v435:0:0 > 2 && v418:0:0 > 1 && v429:0:0 > v418:0:0 && v429:0:0 > 2 124.48/89.58 The following rules are bounded: 124.48/89.58 f_491(v418:0:0, v419:0:0, v435:0:0, v429:0:0) -> f_491(1 + v418:0:0, 1 + v419:0:0, v435:0:0, v429:0:0) :|: v419:0:0 > 1 && v435:0:0 > 2 && v418:0:0 > 1 && v429:0:0 > v418:0:0 && v429:0:0 > 2 124.48/89.58 124.48/89.58 ---------------------------------------- 124.48/89.58 124.48/89.58 (12) 124.48/89.58 YES 124.85/89.64 EOF