44.81/16.26 YES 44.81/16.27 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 44.81/16.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 44.81/16.27 44.81/16.27 44.81/16.27 Termination of the given C Problem could be proven: 44.81/16.27 44.81/16.27 (0) C Problem 44.81/16.27 (1) CToLLVMProof [EQUIVALENT, 177 ms] 44.81/16.27 (2) LLVM problem 44.81/16.27 (3) LLVMToTerminationGraphProof [EQUIVALENT, 13.2 s] 44.81/16.27 (4) LLVM Symbolic Execution Graph 44.81/16.27 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 44.81/16.27 (6) LLVM Symbolic Execution SCC 44.81/16.27 (7) SCC2IRS [SOUND, 156 ms] 44.81/16.27 (8) IntTRS 44.81/16.27 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 44.81/16.27 (10) IntTRS 44.81/16.27 (11) RankingReductionPairProof [EQUIVALENT, 26 ms] 44.81/16.27 (12) YES 44.81/16.27 44.81/16.27 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (0) 44.81/16.27 Obligation: 44.81/16.27 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (1) CToLLVMProof (EQUIVALENT) 44.81/16.27 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (2) 44.81/16.27 Obligation: 44.81/16.27 LLVM Problem 44.81/16.27 44.81/16.27 Aliases: 44.81/16.27 44.81/16.27 Data layout: 44.81/16.27 44.81/16.27 "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" 44.81/16.27 44.81/16.27 Machine: 44.81/16.27 44.81/16.27 "x86_64-pc-linux-gnu" 44.81/16.27 44.81/16.27 Type definitions: 44.81/16.27 44.81/16.27 Global variables: 44.81/16.27 44.81/16.27 Function declarations and definitions: 44.81/16.27 44.81/16.27 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 44.81/16.27 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (i i32, j i32, k i32, tmp i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 44.81/16.27 0: 44.81/16.27 %1 = alloca i32, align 4 44.81/16.27 %2 = alloca i32, align 4 44.81/16.27 %3 = alloca i32, align 4 44.81/16.27 %4 = alloca i32, align 4 44.81/16.27 %i_ref = alloca *i32, align 8 44.81/16.27 %j_ref = alloca *i32, align 8 44.81/16.27 %k_ref = alloca *i32, align 8 44.81/16.27 %tmp_ref = alloca *i32, align 8 44.81/16.27 %c = alloca *i32, align 8 44.81/16.27 store %i, %1 44.81/16.27 store %j, %2 44.81/16.27 store %k, %3 44.81/16.27 store %tmp, %4 44.81/16.27 %5 = alloca i8, numElementsLit: 4 44.81/16.27 %6 = bitcast *i8 %5 to *i32 44.81/16.27 store %6, %i_ref 44.81/16.27 %7 = alloca i8, numElementsLit: 4 44.81/16.27 %8 = bitcast *i8 %7 to *i32 44.81/16.27 store %8, %j_ref 44.81/16.27 %9 = alloca i8, numElementsLit: 4 44.81/16.27 %10 = bitcast *i8 %9 to *i32 44.81/16.27 store %10, %k_ref 44.81/16.27 %11 = alloca i8, numElementsLit: 4 44.81/16.27 %12 = bitcast *i8 %11 to *i32 44.81/16.27 store %12, %tmp_ref 44.81/16.27 %13 = alloca i8, numElementsLit: 4 44.81/16.27 %14 = bitcast *i8 %13 to *i32 44.81/16.27 store %14, %c 44.81/16.27 %15 = load %1 44.81/16.27 %16 = load %i_ref 44.81/16.27 store %15, %16 44.81/16.27 %17 = load %2 44.81/16.27 %18 = load %j_ref 44.81/16.27 store %17, %18 44.81/16.27 %19 = load %3 44.81/16.27 %20 = load %k_ref 44.81/16.27 store %19, %20 44.81/16.27 %21 = load %4 44.81/16.27 %22 = load %tmp_ref 44.81/16.27 store %21, %22 44.81/16.27 %23 = load %c 44.81/16.27 store 0, %23 44.81/16.27 br %24 44.81/16.27 24: 44.81/16.27 %25 = load %i_ref 44.81/16.27 %26 = load %25 44.81/16.27 %27 = icmp sle %26 100 44.81/16.27 br %27, %28, %33 44.81/16.27 28: 44.81/16.27 %29 = load %j_ref 44.81/16.27 %30 = load %29 44.81/16.27 %31 = load %3 44.81/16.27 %32 = icmp sle %30 %31 44.81/16.27 br %33 44.81/16.27 33: 44.81/16.27 %34 = phi [0, %24], [%32, %28] 44.81/16.27 br %34, %35, %54 44.81/16.27 35: 44.81/16.27 %36 = load %i_ref 44.81/16.27 %37 = load %36 44.81/16.27 %38 = load %tmp_ref 44.81/16.27 store %37, %38 44.81/16.27 %39 = load %j_ref 44.81/16.27 %40 = load %39 44.81/16.27 %41 = load %i_ref 44.81/16.27 store %40, %41 44.81/16.27 %42 = load %tmp_ref 44.81/16.27 %43 = load %42 44.81/16.27 %44 = add %43 1 44.81/16.27 %45 = load %j_ref 44.81/16.27 store %44, %45 44.81/16.27 %46 = load %k_ref 44.81/16.27 %47 = load %46 44.81/16.27 %48 = sub %47 1 44.81/16.27 %49 = load %k_ref 44.81/16.27 store %48, %49 44.81/16.27 %50 = load %c 44.81/16.27 %51 = load %50 44.81/16.27 %52 = add %51 1 44.81/16.27 %53 = load %c 44.81/16.27 store %52, %53 44.81/16.27 br %24 44.81/16.27 54: 44.81/16.27 %55 = load %c 44.81/16.27 %56 = load %55 44.81/16.27 ret %56 44.81/16.27 44.81/16.27 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 44.81/16.27 0: 44.81/16.27 %1 = alloca i32, align 4 44.81/16.27 store 0, %1 44.81/16.27 %2 = call i32 @__VERIFIER_nondet_int() 44.81/16.27 %3 = call i32 @__VERIFIER_nondet_int() 44.81/16.27 %4 = call i32 @__VERIFIER_nondet_int() 44.81/16.27 %5 = call i32 @__VERIFIER_nondet_int() 44.81/16.27 %6 = call i32 @test_fun(i32 %2, i32 %3, i32 %4, i32 %5) 44.81/16.27 ret %6 44.81/16.27 44.81/16.27 44.81/16.27 Analyze Termination of all function calls matching the pattern: 44.81/16.27 main() 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (3) LLVMToTerminationGraphProof (EQUIVALENT) 44.81/16.27 Constructed symbolic execution graph for LLVM program and proved memory safety. 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (4) 44.81/16.27 Obligation: 44.81/16.27 SE Graph 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (5) SymbolicExecutionGraphToSCCProof (SOUND) 44.81/16.27 Splitted symbolic execution graph to 1 SCC. 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (6) 44.81/16.27 Obligation: 44.81/16.27 SCC 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (7) SCC2IRS (SOUND) 44.81/16.27 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 44.81/16.27 Generated rules. Obtained 37 rulesP rules: 44.81/16.27 f_678(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1449, 1, v1451, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_679(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_679(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_680(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: v1451 <= 100 44.81/16.27 f_680(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_682(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_682(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_684(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_684(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_686(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_686(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1449, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_688(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_688(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_690(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_690(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_692(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: v1452 <= v1433 44.81/16.27 f_692(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_695(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_695(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_697(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_697(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_699(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_699(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_701(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_701(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_703(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_703(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_705(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_705(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_707(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_707(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_708(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_708(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_709(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_709(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_710(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_710(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_711(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_711(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_712(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_712(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1449, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_713(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_713(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_714(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: v1652 = 1 + v1451 && v1652 <= 101 44.81/16.27 f_714(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_715(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_715(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_716(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_716(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_717(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_717(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_718(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_718(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_719(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 1 + v1654 = v1454 44.81/16.27 f_719(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_720(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_720(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_721(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_721(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_722(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_722(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_723(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 f_723(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_724(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) :|: v1656 = 1 + v1456 && 2 <= v1656 44.81/16.27 f_724(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) -> f_725(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) :|: 0 = 0 44.81/16.27 f_725(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) -> f_726(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) :|: TRUE 44.81/16.27 f_726(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) -> f_727(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) :|: TRUE 44.81/16.27 f_727(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8, 2) -> f_677(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1451, 1, v1452, v1652, v1454, v1654, v1456, v1656, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: TRUE 44.81/16.27 f_677(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1449, 1, v1451, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) -> f_678(v1431, v1432, v1433, v1434, v1435, v1436, v1437, v1438, v1439, v1440, v1441, v1442, v1443, v1444, v1445, v1446, v1447, v1448, v1449, 1, v1451, v1452, v1453, v1454, v1455, v1456, v1457, v1458, v1459, v1460, v1461, v1462, v1463, v1464, v1465, v1466, v1467, v1468, v1469, v1470, v1471, v1472, 0, 3, 7, 100, 101, 4, 8) :|: 0 = 0 44.81/16.27 Combined rules. Obtained 1 rulesP rules: 44.81/16.27 f_678(v1431:0, v1432:0, v1433:0, v1434:0, v1435:0, v1436:0, v1437:0, v1438:0, v1439:0, v1440:0, v1441:0, v1442:0, v1443:0, v1444:0, v1445:0, v1446:0, v1447:0, v1448:0, v1449:0, 1, v1451:0, v1452:0, v1453:0, 1 + v1654:0, v1455:0, v1456:0, v1457:0, v1458:0, v1459:0, v1460:0, v1461:0, v1462:0, v1463:0, v1464:0, v1465:0, v1466:0, v1467:0, v1468:0, v1469:0, v1470:0, v1471:0, v1472:0, 0, 3, 7, 100, 101, 4, 8) -> f_678(v1431:0, v1432:0, v1433:0, v1434:0, v1435:0, v1436:0, v1437:0, v1438:0, v1439:0, v1440:0, v1441:0, v1442:0, v1443:0, v1444:0, v1445:0, v1446:0, v1447:0, v1448:0, v1451:0, 1, v1452:0, 1 + v1451:0, 1 + v1654:0, v1654:0, v1456:0, 1 + v1456:0, v1457:0, v1458:0, v1459:0, v1460:0, v1461:0, v1462:0, v1463:0, v1464:0, v1465:0, v1466:0, v1467:0, v1468:0, v1469:0, v1470:0, v1471:0, v1472:0, 0, 3, 7, 100, 101, 4, 8) :|: v1451:0 < 101 && v1452:0 <= v1433:0 && v1456:0 > 0 44.81/16.27 Filtered unneeded arguments: 44.81/16.27 f_678(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, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49) -> f_678(x3, x21, x22, x24, x26) 44.81/16.27 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 44.81/16.27 f_678(v1433:0, v1451:0, v1452:0, sum~cons_1~v1654:0, v1456:0) -> f_678(v1433:0, v1452:0, 1 + v1451:0, v1654:0, 1 + v1456:0) :|: v1452:0 <= v1433:0 && v1456:0 > 0 && v1451:0 < 101 && sum~cons_1~v1654:0 = 1 + v1654:0 44.81/16.27 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (8) 44.81/16.27 Obligation: 44.81/16.27 Rules: 44.81/16.27 f_678(v1433:0, v1451:0, v1452:0, sum~cons_1~v1654:0, v1456:0) -> f_678(v1433:0, v1452:0, 1 + v1451:0, v1654:0, 1 + v1456:0) :|: v1452:0 <= v1433:0 && v1456:0 > 0 && v1451:0 < 101 && sum~cons_1~v1654:0 = 1 + v1654:0 44.81/16.27 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (9) IntTRSCompressionProof (EQUIVALENT) 44.81/16.27 Compressed rules. 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (10) 44.81/16.27 Obligation: 44.81/16.27 Rules: 44.81/16.27 f_678(v1433:0:0, v1451:0:0, v1452:0:0, sum~cons_1~v1654:0:0, v1456:0:0) -> f_678(v1433:0:0, v1452:0:0, 1 + v1451:0:0, v1654:0:0, 1 + v1456:0:0) :|: v1452:0:0 <= v1433:0:0 && v1456:0:0 > 0 && v1451:0:0 < 101 && sum~cons_1~v1654:0:0 = 1 + v1654:0:0 44.81/16.27 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (11) RankingReductionPairProof (EQUIVALENT) 44.81/16.27 Interpretation: 44.81/16.27 [ f_678 ] = -1*f_678_3 + f_678_1 + -1*f_678_2 44.81/16.27 44.81/16.27 The following rules are decreasing: 44.81/16.27 f_678(v1433:0:0, v1451:0:0, v1452:0:0, sum~cons_1~v1654:0:0, v1456:0:0) -> f_678(v1433:0:0, v1452:0:0, 1 + v1451:0:0, v1654:0:0, 1 + v1456:0:0) :|: v1452:0:0 <= v1433:0:0 && v1456:0:0 > 0 && v1451:0:0 < 101 && sum~cons_1~v1654:0:0 = 1 + v1654:0:0 44.81/16.27 44.81/16.27 The following rules are bounded: 44.81/16.27 f_678(v1433:0:0, v1451:0:0, v1452:0:0, sum~cons_1~v1654:0:0, v1456:0:0) -> f_678(v1433:0:0, v1452:0:0, 1 + v1451:0:0, v1654:0:0, 1 + v1456:0:0) :|: v1452:0:0 <= v1433:0:0 && v1456:0:0 > 0 && v1451:0:0 < 101 && sum~cons_1~v1654:0:0 = 1 + v1654:0:0 44.81/16.27 44.81/16.27 44.81/16.27 ---------------------------------------- 44.81/16.27 44.81/16.27 (12) 44.81/16.27 YES 45.16/16.34 EOF