24.28/8.49 YES 24.28/8.50 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 24.28/8.50 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.28/8.50 24.28/8.50 24.28/8.50 Termination of the given C Problem could be proven: 24.28/8.50 24.28/8.50 (0) C Problem 24.28/8.50 (1) CToLLVMProof [EQUIVALENT, 174 ms] 24.28/8.50 (2) LLVM problem 24.28/8.50 (3) LLVMToTerminationGraphProof [EQUIVALENT, 4976 ms] 24.28/8.50 (4) LLVM Symbolic Execution Graph 24.28/8.50 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 24.28/8.50 (6) LLVM Symbolic Execution SCC 24.28/8.50 (7) SCC2IRS [SOUND, 109 ms] 24.28/8.50 (8) IntTRS 24.28/8.50 (9) IRS2T2 [EQUIVALENT, 0 ms] 24.28/8.50 (10) T2IntSys 24.28/8.50 (11) T2 [EQUIVALENT, 1165 ms] 24.28/8.50 (12) YES 24.28/8.50 24.28/8.50 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (0) 24.28/8.50 Obligation: 24.28/8.50 c file /export/starexec/sandbox/benchmark/theBenchmark.c 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (1) CToLLVMProof (EQUIVALENT) 24.28/8.50 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (2) 24.28/8.50 Obligation: 24.28/8.50 LLVM Problem 24.28/8.50 24.28/8.50 Aliases: 24.28/8.50 24.28/8.50 Data layout: 24.28/8.50 24.28/8.50 "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" 24.28/8.50 24.28/8.50 Machine: 24.28/8.50 24.28/8.50 "x86_64-pc-linux-gnu" 24.28/8.50 24.28/8.50 Type definitions: 24.28/8.50 24.28/8.50 Global variables: 24.28/8.50 24.28/8.50 Function declarations and definitions: 24.28/8.50 24.28/8.50 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 24.28/8.50 *BasicFunctionTypename: "cstrnlen" linkageType: EXTERNALLY_VISIBLE returnParam: i64 parameters: (str *i8, maxlen i64) variableLength: false visibilityType: DEFAULT callingConvention: ccc 24.28/8.50 0: 24.28/8.50 %1 = alloca *i8, align 8 24.28/8.50 %2 = alloca i64, align 8 24.28/8.50 %cp = alloca *i8, align 8 24.28/8.50 store %str, %1 24.28/8.50 store %maxlen, %2 24.28/8.50 %3 = load %1 24.28/8.50 store %3, %cp 24.28/8.50 br %4 24.28/8.50 4: 24.28/8.50 %5 = load %2 24.28/8.50 %6 = icmp ne %5 0 24.28/8.50 br %6, %7, %12 24.28/8.50 7: 24.28/8.50 %8 = load %cp 24.28/8.50 %9 = load %8 24.28/8.50 %10 = sext i8 %9 to i32 24.28/8.50 %11 = icmp ne %10 0 24.28/8.50 br %12 24.28/8.50 12: 24.28/8.50 %13 = phi [0, %4], [%11, %7] 24.28/8.50 br %13, %14, %20 24.28/8.50 14: 24.28/8.50 br %15 24.28/8.50 15: 24.28/8.50 %16 = load %cp 24.28/8.50 %17 = getelementptr %16, 1 24.28/8.50 store %17, %cp 24.28/8.50 %18 = load %2 24.28/8.50 %19 = add %18 -1 24.28/8.50 store %19, %2 24.28/8.50 br %4 24.28/8.50 20: 24.28/8.50 %21 = load %cp 24.28/8.50 %22 = load %1 24.28/8.50 %23 = ptrtoint *i8 %21 to i64 24.28/8.50 %24 = ptrtoint *i8 %22 to i64 24.28/8.50 %25 = sub %23 %24 24.28/8.50 ret %25 24.28/8.50 24.28/8.50 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 24.28/8.50 0: 24.28/8.50 %1 = alloca i32, align 4 24.28/8.50 %length1 = alloca i32, align 4 24.28/8.50 %n = alloca i32, align 4 24.28/8.50 %nondetString1 = alloca *i8, align 8 24.28/8.50 store 0, %1 24.28/8.50 %2 = call i32 @__VERIFIER_nondet_int() 24.28/8.50 store %2, %length1 24.28/8.50 %3 = call i32 @__VERIFIER_nondet_int() 24.28/8.50 store %3, %n 24.28/8.50 %4 = load %length1 24.28/8.50 %5 = icmp slt %4 1 24.28/8.50 br %5, %6, %7 24.28/8.50 6: 24.28/8.50 store 1, %length1 24.28/8.50 br %7 24.28/8.50 7: 24.28/8.50 %8 = load %n 24.28/8.50 %9 = icmp slt %8 1 24.28/8.50 br %9, %10, %11 24.28/8.50 10: 24.28/8.50 store 1, %n 24.28/8.50 br %11 24.28/8.50 11: 24.28/8.50 %12 = load %length1 24.28/8.50 %13 = sext i32 %12 to i64 24.28/8.50 %14 = mul %13 1 24.28/8.50 %15 = alloca i8, numElementsLit: %14 24.28/8.50 store %15, %nondetString1 24.28/8.50 %16 = load %length1 24.28/8.50 %17 = sub %16 1 24.28/8.50 %18 = sext i32 %17 to i64 24.28/8.50 %19 = load %nondetString1 24.28/8.50 %20 = getelementptr %19, %18 24.28/8.50 store 0, %20 24.28/8.50 %21 = load %nondetString1 24.28/8.50 %22 = load %n 24.28/8.50 %23 = sext i32 %22 to i64 24.28/8.50 %24 = call i64 @cstrnlen(*i8 %21, i64 %23) 24.28/8.50 %25 = trunc i64 %24 to i32 24.28/8.50 ret %25 24.28/8.50 24.28/8.50 24.28/8.50 Analyze Termination of all function calls matching the pattern: 24.28/8.50 main() 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (3) LLVMToTerminationGraphProof (EQUIVALENT) 24.28/8.50 Constructed symbolic execution graph for LLVM program and proved memory safety. 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (4) 24.28/8.50 Obligation: 24.28/8.50 SE Graph 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (5) SymbolicExecutionGraphToSCCProof (SOUND) 24.28/8.50 Splitted symbolic execution graph to 1 SCC. 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (6) 24.28/8.50 Obligation: 24.28/8.50 SCC 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (7) SCC2IRS (SOUND) 24.28/8.50 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 24.28/8.50 Generated rules. Obtained 20 rulesP rules: 24.28/8.50 f_565(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_566(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: v1031 != 0 && 2 <= v1026 24.28/8.50 f_566(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_568(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_568(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_570(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_570(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_572(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1029, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_572(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1029, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_574(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1029, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_574(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1029, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_576(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_576(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_578(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: v1105 != 0 && v1030 < v1039 && 4 <= v1039 24.28/8.50 f_578(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_581(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_581(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_584(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_584(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_587(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_587(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_590(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_590(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1028, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_593(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_593(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_595(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: v1244 = 1 + v1030 && 4 <= v1244 24.28/8.50 f_595(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_597(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_597(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_599(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 f_599(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_601(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 1 + v1247 = v1031 && 0 <= v1247 24.28/8.50 f_601(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_603(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_603(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_605(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_605(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, v1028, v1029, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_564(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1030, v1105, v1244, v1247, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: TRUE 24.28/8.50 f_564(v1021, v1022, v1023, v1024, v1025, v1026, 1, v1028, v1029, v1030, v1031, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) -> f_565(v1021, v1022, v1023, v1024, v1025, v1031, 1, v1028, v1029, v1030, v1026, v1032, v1040, v1033, v1041, v1034, v1042, v1035, v1043, v1039, v1044, v1045, v1046, v1048, 0, v1036, v1047, v1049, v1038, 3, 7, 2, 4, 8) :|: 0 = 0 24.28/8.50 Combined rules. Obtained 2 rulesP rules: 24.28/8.50 f_565(v1021:0, v1022:0, v1023:0, v1024:0, v1025:0, 1 + v1247:0, 1, v1028:0, v1029:0, v1030:0, v1026:0, v1032:0, v1040:0, v1033:0, v1041:0, v1034:0, v1042:0, v1035:0, v1043:0, v1039:0, v1044:0, v1045:0, v1046:0, v1048:0, 0, v1036:0, v1047:0, v1049:0, v1038:0, 3, 7, 2, 4, 8) -> f_565(v1021:0, v1022:0, v1023:0, v1024:0, v1025:0, v1247:0, 1, v1030:0, v1105:0, 1 + v1030:0, 1 + v1247:0, v1032:0, v1040:0, v1033:0, v1041:0, v1034:0, v1042:0, v1035:0, v1043:0, v1039:0, v1044:0, v1045:0, v1046:0, v1048:0, 0, v1036:0, v1047:0, v1049:0, v1038:0, 3, 7, 2, 4, 8) :|: v1026:0 > 1 && v1247:0 > -1 && v1039:0 > v1030:0 && v1105:0 < 0 && v1039:0 > 3 && v1030:0 > 2 24.28/8.50 f_565(v1021:0, v1022:0, v1023:0, v1024:0, v1025:0, 1 + v1247:0, 1, v1028:0, v1029:0, v1030:0, v1026:0, v1032:0, v1040:0, v1033:0, v1041:0, v1034:0, v1042:0, v1035:0, v1043:0, v1039:0, v1044:0, v1045:0, v1046:0, v1048:0, 0, v1036:0, v1047:0, v1049:0, v1038:0, 3, 7, 2, 4, 8) -> f_565(v1021:0, v1022:0, v1023:0, v1024:0, v1025:0, v1247:0, 1, v1030:0, v1105:0, 1 + v1030:0, 1 + v1247:0, v1032:0, v1040:0, v1033:0, v1041:0, v1034:0, v1042:0, v1035:0, v1043:0, v1039:0, v1044:0, v1045:0, v1046:0, v1048:0, 0, v1036:0, v1047:0, v1049:0, v1038:0, 3, 7, 2, 4, 8) :|: v1026:0 > 1 && v1247:0 > -1 && v1039:0 > v1030:0 && v1105:0 > 0 && v1039:0 > 3 && v1030:0 > 2 24.28/8.50 Filtered unneeded arguments: 24.28/8.50 f_565(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_565(x6, x10, x11, x20) 24.28/8.50 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 24.28/8.50 f_565(sum~cons_1~v1247:0, v1030:0, v1026:0, v1039:0) -> f_565(v1247:0, 1 + v1030:0, 1 + v1247:0, v1039:0) :|: v1247:0 > -1 && v1026:0 > 1 && v1039:0 > v1030:0 && v1030:0 > 2 && v1039:0 > 3 && sum~cons_1~v1247:0 = 1 + v1247:0 24.28/8.50 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (8) 24.28/8.50 Obligation: 24.28/8.50 Rules: 24.28/8.50 f_565(sum~cons_1~v1247:0, v1030:0, v1026:0, v1039:0) -> f_565(v1247:0, 1 + v1030:0, 1 + v1247:0, v1039:0) :|: v1247:0 > -1 && v1026:0 > 1 && v1039:0 > v1030:0 && v1030:0 > 2 && v1039:0 > 3 && sum~cons_1~v1247:0 = 1 + v1247:0 24.28/8.50 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (9) IRS2T2 (EQUIVALENT) 24.28/8.50 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 24.28/8.50 24.28/8.50 (f_565_4,1) 24.28/8.50 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (10) 24.28/8.50 Obligation: 24.28/8.50 START: 0; 24.28/8.50 24.28/8.50 FROM: 0; 24.28/8.50 TO: 1; 24.28/8.50 24.28/8.50 FROM: 1; 24.28/8.50 oldX0 := x0; 24.28/8.50 oldX1 := x1; 24.28/8.50 oldX2 := x2; 24.28/8.50 oldX3 := x3; 24.28/8.50 oldX4 := oldX0 - 1; 24.28/8.50 assume(oldX4 > -1 && oldX2 > 1 && oldX3 > oldX1 && oldX1 > 2 && oldX3 > 3 && oldX0 = 1 + oldX4); 24.28/8.50 x0 := oldX0 - 1; 24.28/8.50 x1 := 1 + oldX1; 24.28/8.50 x2 := 1 + oldX4; 24.28/8.50 x3 := oldX3; 24.28/8.50 TO: 1; 24.28/8.50 24.28/8.50 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (11) T2 (EQUIVALENT) 24.28/8.50 Initially, performed program simplifications using lexicographic rank functions: 24.28/8.50 * Removed transitions 1, 3, 4 using the following rank functions: 24.28/8.50 - Rank function 1: 24.28/8.50 RF for loc. 5: 1+x0-x1+x3 24.28/8.50 RF for loc. 6: x0-x1+x3 24.28/8.50 Bound for (chained) transitions 3: 2 24.28/8.50 Bound for (chained) transitions 4: 2 24.28/8.50 - Rank function 2: 24.28/8.50 RF for loc. 5: 1 24.28/8.50 RF for loc. 6: 0 24.28/8.50 Bound for (chained) transitions 1: 1 24.28/8.50 24.28/8.50 ---------------------------------------- 24.28/8.50 24.28/8.50 (12) 24.28/8.50 YES 24.40/8.57 EOF