35.02/12.86 YES 35.20/12.88 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 35.20/12.88 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 35.20/12.88 35.20/12.88 35.20/12.88 Termination of the given C Problem could be proven: 35.20/12.88 35.20/12.88 (0) C Problem 35.20/12.88 (1) CToLLVMProof [EQUIVALENT, 174 ms] 35.20/12.88 (2) LLVM problem 35.20/12.88 (3) LLVMToTerminationGraphProof [EQUIVALENT, 9071 ms] 35.20/12.88 (4) LLVM Symbolic Execution Graph 35.20/12.88 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 35.20/12.88 (6) LLVM Symbolic Execution SCC 35.20/12.88 (7) SCC2IRS [SOUND, 133 ms] 35.20/12.88 (8) IntTRS 35.20/12.88 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 35.20/12.88 (10) IntTRS 35.20/12.88 (11) PolynomialOrderProcessor [EQUIVALENT, 11 ms] 35.20/12.88 (12) YES 35.20/12.88 35.20/12.88 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (0) 35.20/12.88 Obligation: 35.20/12.88 c file /export/starexec/sandbox/benchmark/theBenchmark.c 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (1) CToLLVMProof (EQUIVALENT) 35.20/12.88 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (2) 35.20/12.88 Obligation: 35.20/12.88 LLVM Problem 35.20/12.88 35.20/12.88 Aliases: 35.20/12.88 35.20/12.88 Data layout: 35.20/12.88 35.20/12.88 "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" 35.20/12.88 35.20/12.88 Machine: 35.20/12.88 35.20/12.88 "x86_64-pc-linux-gnu" 35.20/12.88 35.20/12.88 Type definitions: 35.20/12.88 35.20/12.88 Global variables: 35.20/12.88 35.20/12.88 Function declarations and definitions: 35.20/12.88 35.20/12.88 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 35.20/12.88 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 35.20/12.88 0: 35.20/12.88 %1 = alloca i32, align 4 35.20/12.88 %2 = alloca i32, align 4 35.20/12.88 %3 = alloca i32, align 4 35.20/12.88 %x_ref = alloca *i32, align 8 35.20/12.88 %y_ref = alloca *i32, align 8 35.20/12.88 %z_ref = alloca *i32, align 8 35.20/12.88 %c = alloca *i32, align 8 35.20/12.88 store %x, %1 35.20/12.88 store %y, %2 35.20/12.88 store %z, %3 35.20/12.88 %4 = alloca i8, numElementsLit: 4 35.20/12.88 %5 = bitcast *i8 %4 to *i32 35.20/12.88 store %5, %x_ref 35.20/12.88 %6 = alloca i8, numElementsLit: 4 35.20/12.88 %7 = bitcast *i8 %6 to *i32 35.20/12.88 store %7, %y_ref 35.20/12.88 %8 = alloca i8, numElementsLit: 4 35.20/12.88 %9 = bitcast *i8 %8 to *i32 35.20/12.88 store %9, %z_ref 35.20/12.88 %10 = alloca i8, numElementsLit: 4 35.20/12.88 %11 = bitcast *i8 %10 to *i32 35.20/12.88 store %11, %c 35.20/12.88 %12 = load %1 35.20/12.88 %13 = load %x_ref 35.20/12.88 store %12, %13 35.20/12.88 %14 = load %2 35.20/12.88 %15 = load %y_ref 35.20/12.88 store %14, %15 35.20/12.88 %16 = load %3 35.20/12.88 %17 = load %z_ref 35.20/12.88 store %16, %17 35.20/12.88 %18 = load %c 35.20/12.88 store 0, %18 35.20/12.88 br %19 35.20/12.88 19: 35.20/12.88 %20 = load %x_ref 35.20/12.88 %21 = load %20 35.20/12.88 %22 = load %y_ref 35.20/12.88 %23 = load %22 35.20/12.88 %24 = icmp sgt %21 %23 35.20/12.88 br %24, %25, %31 35.20/12.88 25: 35.20/12.88 %26 = load %x_ref 35.20/12.88 %27 = load %26 35.20/12.88 %28 = load %z_ref 35.20/12.88 %29 = load %28 35.20/12.88 %30 = icmp sgt %27 %29 35.20/12.88 br %31 35.20/12.88 31: 35.20/12.88 %32 = phi [0, %19], [%30, %25] 35.20/12.88 br %32, %33, %46 35.20/12.88 33: 35.20/12.88 %34 = load %y_ref 35.20/12.88 %35 = load %34 35.20/12.88 %36 = add %35 1 35.20/12.88 %37 = load %y_ref 35.20/12.88 store %36, %37 35.20/12.88 %38 = load %z_ref 35.20/12.88 %39 = load %38 35.20/12.88 %40 = add %39 1 35.20/12.88 %41 = load %z_ref 35.20/12.88 store %40, %41 35.20/12.88 %42 = load %c 35.20/12.88 %43 = load %42 35.20/12.88 %44 = add %43 1 35.20/12.88 %45 = load %c 35.20/12.88 store %44, %45 35.20/12.88 br %19 35.20/12.88 46: 35.20/12.88 %47 = load %c 35.20/12.88 %48 = load %47 35.20/12.88 ret %48 35.20/12.88 35.20/12.88 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 35.20/12.88 0: 35.20/12.88 %1 = alloca i32, align 4 35.20/12.88 store 0, %1 35.20/12.88 %2 = call i32 @__VERIFIER_nondet_int() 35.20/12.88 %3 = call i32 @__VERIFIER_nondet_int() 35.20/12.88 %4 = call i32 @__VERIFIER_nondet_int() 35.20/12.88 %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) 35.20/12.88 ret %5 35.20/12.88 35.20/12.88 35.20/12.88 Analyze Termination of all function calls matching the pattern: 35.20/12.88 main() 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (3) LLVMToTerminationGraphProof (EQUIVALENT) 35.20/12.88 Constructed symbolic execution graph for LLVM program and proved memory safety. 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (4) 35.20/12.88 Obligation: 35.20/12.88 SE Graph 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (5) SymbolicExecutionGraphToSCCProof (SOUND) 35.20/12.88 Splitted symbolic execution graph to 1 SCC. 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (6) 35.20/12.88 Obligation: 35.20/12.88 SCC 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (7) SCC2IRS (SOUND) 35.20/12.88 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 35.20/12.88 Generated rules. Obtained 32 rulesP rules: 35.20/12.88 f_588(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_589(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_589(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_590(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_590(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_591(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_591(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_592(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: v1384 < v1367 35.20/12.88 f_592(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_594(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_594(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_596(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE 35.20/12.88 f_596(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_598(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_598(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_600(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_600(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_602(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_602(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1383, v1381, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_604(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_604(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_606(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: v1385 < v1367 35.20/12.88 f_606(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_608(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_608(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_610(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_610(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_612(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE 35.20/12.88 f_612(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_614(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_614(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1381, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_616(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_616(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_618(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: v1584 = 1 + v1384 35.20/12.88 f_618(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_620(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_620(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_621(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE 35.20/12.88 f_621(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_622(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_622(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1383, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_623(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_623(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_624(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: v1586 = 1 + v1385 35.20/12.88 f_624(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_625(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_625(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_626(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE 35.20/12.88 f_626(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_627(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_627(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_628(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 f_628(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_629(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: v1588 = 1 + v1387 && 2 <= v1588 35.20/12.88 f_629(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_630(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: 0 = 0 35.20/12.88 f_630(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_631(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: TRUE 35.20/12.88 f_631(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_632(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) :|: TRUE 35.20/12.88 f_632(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8, 2) -> f_587(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1384, 1, v1385, v1584, v1586, v1387, v1588, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: TRUE 35.20/12.88 f_587(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) -> f_588(v1367, v1368, v1369, v1370, v1371, v1372, v1373, v1374, v1375, v1376, v1377, v1378, v1379, v1380, v1381, 1, v1383, v1384, v1385, v1386, v1387, v1388, v1389, v1390, v1391, v1392, v1393, v1394, v1395, v1396, v1397, v1398, v1399, v1400, 0, 3, 7, 4, 8) :|: 0 = 0 35.20/12.88 Combined rules. Obtained 1 rulesP rules: 35.20/12.88 f_588(v1367:0, v1368:0, v1369:0, v1370:0, v1371:0, v1372:0, v1373:0, v1374:0, v1375:0, v1376:0, v1377:0, v1378:0, v1379:0, v1380:0, v1381:0, 1, v1383:0, v1384:0, v1385:0, v1386:0, v1387:0, v1388:0, v1389:0, v1390:0, v1391:0, v1392:0, v1393:0, v1394:0, v1395:0, v1396:0, v1397:0, v1398:0, v1399:0, v1400:0, 0, 3, 7, 4, 8) -> f_588(v1367:0, v1368:0, v1369:0, v1370:0, v1371:0, v1372:0, v1373:0, v1374:0, v1375:0, v1376:0, v1377:0, v1378:0, v1379:0, v1380:0, v1384:0, 1, v1385:0, 1 + v1384:0, 1 + v1385:0, v1387:0, 1 + v1387:0, v1388:0, v1389:0, v1390:0, v1391:0, v1392:0, v1393:0, v1394:0, v1395:0, v1396:0, v1397:0, v1398:0, v1399:0, v1400:0, 0, 3, 7, 4, 8) :|: v1384:0 < v1367:0 && v1387:0 > 0 && v1385:0 < v1367:0 35.20/12.88 Filtered unneeded arguments: 35.20/12.88 f_588(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) -> f_588(x1, x18, x19, x21) 35.20/12.88 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 35.20/12.88 f_588(v1367:0, v1384:0, v1385:0, v1387:0) -> f_588(v1367:0, 1 + v1384:0, 1 + v1385:0, 1 + v1387:0) :|: v1387:0 > 0 && v1385:0 < v1367:0 && v1384:0 < v1367:0 35.20/12.88 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (8) 35.20/12.88 Obligation: 35.20/12.88 Rules: 35.20/12.88 f_588(v1367:0, v1384:0, v1385:0, v1387:0) -> f_588(v1367:0, 1 + v1384:0, 1 + v1385:0, 1 + v1387:0) :|: v1387:0 > 0 && v1385:0 < v1367:0 && v1384:0 < v1367:0 35.20/12.88 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (9) IntTRSCompressionProof (EQUIVALENT) 35.20/12.88 Compressed rules. 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (10) 35.20/12.88 Obligation: 35.20/12.88 Rules: 35.20/12.88 f_588(v1367:0:0, v1384:0:0, v1385:0:0, v1387:0:0) -> f_588(v1367:0:0, 1 + v1384:0:0, 1 + v1385:0:0, 1 + v1387:0:0) :|: v1387:0:0 > 0 && v1385:0:0 < v1367:0:0 && v1384:0:0 < v1367:0:0 35.20/12.88 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (11) PolynomialOrderProcessor (EQUIVALENT) 35.20/12.88 Found the following polynomial interpretation: 35.20/12.88 [f_588(x, x1, x2, x3)] = x - x2 35.20/12.88 35.20/12.88 The following rules are decreasing: 35.20/12.88 f_588(v1367:0:0, v1384:0:0, v1385:0:0, v1387:0:0) -> f_588(v1367:0:0, 1 + v1384:0:0, 1 + v1385:0:0, 1 + v1387:0:0) :|: v1387:0:0 > 0 && v1385:0:0 < v1367:0:0 && v1384:0:0 < v1367:0:0 35.20/12.88 The following rules are bounded: 35.20/12.88 f_588(v1367:0:0, v1384:0:0, v1385:0:0, v1387:0:0) -> f_588(v1367:0:0, 1 + v1384:0:0, 1 + v1385:0:0, 1 + v1387:0:0) :|: v1387:0:0 > 0 && v1385:0:0 < v1367:0:0 && v1384:0:0 < v1367:0:0 35.20/12.88 35.20/12.88 ---------------------------------------- 35.20/12.88 35.20/12.88 (12) 35.20/12.88 YES 35.33/12.96 EOF