21.40/6.88 YES 22.13/6.92 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 22.13/6.92 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.13/6.92 22.13/6.92 22.13/6.92 Termination of the given C Problem could be proven: 22.13/6.92 22.13/6.92 (0) C Problem 22.13/6.92 (1) CToLLVMProof [EQUIVALENT, 172 ms] 22.13/6.92 (2) LLVM problem 22.13/6.92 (3) LLVMToTerminationGraphProof [EQUIVALENT, 2455 ms] 22.13/6.92 (4) LLVM Symbolic Execution Graph 22.13/6.92 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 22.13/6.92 (6) LLVM Symbolic Execution Lasso 22.13/6.92 (7) Lasso2IRS [SOUND, 111 ms] 22.13/6.92 (8) IntTRS 22.13/6.92 (9) IRS2T2 [EQUIVALENT, 0 ms] 22.13/6.92 (10) T2IntSys 22.13/6.92 (11) T2 [EQUIVALENT, 1551 ms] 22.13/6.92 (12) YES 22.13/6.92 22.13/6.92 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (0) 22.13/6.92 Obligation: 22.13/6.92 c file /export/starexec/sandbox/benchmark/theBenchmark.c 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (1) CToLLVMProof (EQUIVALENT) 22.13/6.92 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (2) 22.13/6.92 Obligation: 22.13/6.92 LLVM Problem 22.13/6.92 22.13/6.92 Aliases: 22.13/6.92 22.13/6.92 Data layout: 22.13/6.92 22.13/6.92 "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" 22.13/6.92 22.13/6.92 Machine: 22.13/6.92 22.13/6.92 "x86_64-pc-linux-gnu" 22.13/6.92 22.13/6.92 Type definitions: 22.13/6.92 22.13/6.92 Global variables: 22.13/6.92 22.13/6.92 Function declarations and definitions: 22.13/6.92 22.13/6.92 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 22.13/6.92 *BasicFunctionTypename: "__VERIFIER_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc 22.13/6.92 *BasicFunctionTypename: "gcd" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (y1 i32, y2 i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 22.13/6.92 0: 22.13/6.92 %1 = alloca i32, align 4 22.13/6.92 %2 = alloca i32, align 4 22.13/6.92 %3 = alloca i32, align 4 22.13/6.92 store %y1, %2 22.13/6.92 store %y2, %3 22.13/6.92 %4 = load %2 22.13/6.92 %5 = icmp sle %4 0 22.13/6.92 br %5, %9, %6 22.13/6.92 6: 22.13/6.92 %7 = load %3 22.13/6.92 %8 = icmp sle %7 0 22.13/6.92 br %8, %9, %10 22.13/6.92 9: 22.13/6.92 store 0, %1 22.13/6.92 br %32 22.13/6.92 10: 22.13/6.92 %11 = load %2 22.13/6.92 %12 = load %3 22.13/6.92 %13 = icmp eq %11 %12 22.13/6.92 br %13, %14, %16 22.13/6.92 14: 22.13/6.92 %15 = load %2 22.13/6.92 store %15, %1 22.13/6.92 br %32 22.13/6.92 16: 22.13/6.92 %17 = load %2 22.13/6.92 %18 = load %3 22.13/6.92 %19 = icmp sgt %17 %18 22.13/6.92 br %19, %20, %26 22.13/6.92 20: 22.13/6.92 %21 = load %2 22.13/6.92 %22 = load %3 22.13/6.92 %23 = sub %21 %22 22.13/6.92 %24 = load %3 22.13/6.92 %25 = call i32 @gcd(i32 %23, i32 %24) 22.13/6.92 store %25, %1 22.13/6.92 br %32 22.13/6.92 26: 22.13/6.92 %27 = load %2 22.13/6.92 %28 = load %3 22.13/6.92 %29 = load %2 22.13/6.92 %30 = sub %28 %29 22.13/6.92 %31 = call i32 @gcd(i32 %27, i32 %30) 22.13/6.92 store %31, %1 22.13/6.92 br %32 22.13/6.92 32: 22.13/6.92 %33 = load %1 22.13/6.92 ret %33 22.13/6.92 22.13/6.92 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 22.13/6.92 0: 22.13/6.92 %1 = alloca i32, align 4 22.13/6.92 %m = alloca i32, align 4 22.13/6.92 %n = alloca i32, align 4 22.13/6.92 %z = alloca i32, align 4 22.13/6.92 store 0, %1 22.13/6.92 %2 = call i32 @__VERIFIER_nondet_int() 22.13/6.92 store %2, %m 22.13/6.92 %3 = load %m 22.13/6.92 %4 = icmp sle %3 0 22.13/6.92 br %4, %8, %5 22.13/6.92 5: 22.13/6.92 %6 = load %m 22.13/6.92 %7 = icmp sgt %6 2147483647 22.13/6.92 br %7, %8, %9 22.13/6.92 8: 22.13/6.92 store 0, %1 22.13/6.92 br %32 22.13/6.92 9: 22.13/6.92 %10 = call i32 @__VERIFIER_nondet_int() 22.13/6.92 store %10, %n 22.13/6.92 %11 = load %n 22.13/6.92 %12 = icmp sle %11 0 22.13/6.92 br %12, %16, %13 22.13/6.92 13: 22.13/6.92 %14 = load %n 22.13/6.92 %15 = icmp sgt %14 2147483647 22.13/6.92 br %15, %16, %17 22.13/6.92 16: 22.13/6.92 store 0, %1 22.13/6.92 br %32 22.13/6.92 17: 22.13/6.92 %18 = load %m 22.13/6.92 %19 = load %n 22.13/6.92 %20 = call i32 @gcd(i32 %18, i32 %19) 22.13/6.92 store %20, %z 22.13/6.92 %21 = load %z 22.13/6.92 %22 = icmp slt %21 1 22.13/6.92 br %22, %23, %31 22.13/6.92 23: 22.13/6.92 %24 = load %m 22.13/6.92 %25 = icmp sgt %24 0 22.13/6.92 br %25, %26, %31 22.13/6.92 26: 22.13/6.92 %27 = load %n 22.13/6.92 %28 = icmp sgt %27 0 22.13/6.92 br %28, %29, %31 22.13/6.92 29: 22.13/6.92 br %30 22.13/6.92 30: 22.13/6.92 Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error() noreturn 22.13/6.92 unreachable 22.13/6.92 31: 22.13/6.92 store 0, %1 22.13/6.92 br %32 22.13/6.92 32: 22.13/6.92 %33 = load %1 22.13/6.92 ret %33 22.13/6.92 22.13/6.92 22.13/6.92 Analyze Termination of all function calls matching the pattern: 22.13/6.92 main() 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (3) LLVMToTerminationGraphProof (EQUIVALENT) 22.13/6.92 Constructed symbolic execution graph for LLVM program and proved memory safety. 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (4) 22.13/6.92 Obligation: 22.13/6.92 SE Graph 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 22.13/6.92 Converted SEGraph to 1 independent lasso. 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (6) 22.13/6.92 Obligation: 22.13/6.92 Lasso 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (7) Lasso2IRS (SOUND) 22.13/6.92 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 22.13/6.92 Generated rules. Obtained 67 rulesP rules: 22.13/6.92 f_364(v89, v90, v91, v92, 3, 1, 4) -> f_365(v89, v90, v91, v93, v92, v94, 3, 1, 4) :|: 1 <= v93 && v94 = 3 + v93 && 4 <= v94 22.13/6.92 f_365(v89, v90, v91, v93, v92, v94, 3, 1, 4) -> f_366(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) :|: 1 <= v95 && v96 = 3 + v95 && 4 <= v96 22.13/6.92 f_366(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) -> f_367(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) :|: TRUE 22.13/6.92 f_367(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) -> f_368(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) :|: TRUE 22.13/6.92 f_368(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) -> f_369(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_369(v89, v90, v91, v93, v95, v92, v94, v96, 3, 1, 4) -> f_370(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_370(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_371(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: TRUE 22.13/6.92 f_371(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_372(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_372(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_373(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_373(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_374(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: TRUE 22.13/6.92 f_374(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_375(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_375(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_376(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_376(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_378(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: v89 != v90 22.13/6.92 f_378(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_380(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_380(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_382(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: TRUE 22.13/6.92 f_382(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_384(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_384(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_386(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_386(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_388(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 2, 1, 4) :|: v90 < v89 && 2 <= v89 22.13/6.92 f_386(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 4) -> f_389(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) :|: v89 <= v90 && 2 <= v90 22.13/6.92 f_388(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 2, 1, 4) -> f_391(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) :|: 0 = 0 22.13/6.92 f_391(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) -> f_394(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) :|: TRUE 22.13/6.92 f_394(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) -> f_397(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) :|: 0 = 0 22.13/6.92 f_397(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) -> f_400(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) :|: 0 = 0 22.13/6.92 f_400(v89, v90, v91, v93, v95, 0, 1, v92, v94, v96, 3, 2, 4) -> f_403(v89, v90, v91, v93, v95, 0, 1, v108, v92, v94, v96, 3, 2, 4) :|: v108 + v90 = v89 && 1 <= v108 22.13/6.92 f_403(v89, v90, v91, v93, v95, 0, 1, v108, v92, v94, v96, 3, 2, 4) -> f_406(v89, v90, v91, v93, v95, 0, 1, v108, v92, v94, v96, 3, 2, 4) :|: 0 = 0 22.13/6.92 f_406(v89, v90, v91, v93, v95, 0, 1, v108, v92, v94, v96, 3, 2, 4) -> f_409(v108, v90, v91, v92, v93, v94, v95, v96, v89, 0, 1, 3, 2, 4) :|: 0 = 0 22.13/6.92 f_409(v108, v90, v91, v92, v93, v94, v95, v96, v89, 0, 1, 3, 2, 4) -> f_412(v108, v90, v91, v92, v93, v94, v95, v96, v89, 3, 2, 1, 4) :|: TRUE 22.13/6.92 f_412(v108, v90, v91, v92, v93, v94, v95, v96, v89, 3, 2, 1, 4) -> f_362(v108, v90, 1) :|: TRUE 22.13/6.92 f_362(v89, v90, 1) -> f_364(v89, v90, v91, v92, 3, 1, 4) :|: 1 <= v91 && v92 = 3 + v91 && 4 <= v92 22.13/6.92 f_389(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) -> f_392(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) :|: 0 = 0 22.13/6.92 f_392(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) -> f_395(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) :|: TRUE 22.13/6.92 f_395(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) -> f_398(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) :|: 0 = 0 22.13/6.92 f_398(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) -> f_401(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) :|: 0 = 0 22.13/6.92 f_401(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) -> f_404(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) :|: 0 = 0 22.13/6.92 f_404(v89, v90, v91, v93, v95, 0, v92, v94, v96, 3, 1, 2, 4) -> f_407(v89, v90, v91, v93, v95, 0, v109, v92, v94, v96, 3, 1, 2, 4) :|: v109 + v89 = v90 && 1 <= v109 22.13/6.92 f_407(v89, v90, v91, v93, v95, 0, v109, v92, v94, v96, 3, 1, 2, 4) -> f_410(v89, v109, v91, v92, v93, v94, v95, v96, v90, 0, 3, 1, 2, 4) :|: 0 = 0 22.13/6.92 f_410(v89, v109, v91, v92, v93, v94, v95, v96, v90, 0, 3, 1, 2, 4) -> f_413(v89, v109, v91, v92, v93, v94, v95, v96, v90, 3, 1, 2, 4) :|: TRUE 22.13/6.92 f_413(v89, v109, v91, v92, v93, v94, v95, v96, v90, 3, 1, 2, 4) -> f_362(v89, v109, 1) :|: TRUE 22.13/6.92 f_260 -> f_261(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 22.13/6.92 f_261(v1, v2, 3, 1, 4) -> f_262(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 22.13/6.92 f_262(v1, v3, v2, v4, 3, 1, 4) -> f_263(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 22.13/6.92 f_263(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_264(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 22.13/6.92 f_264(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_265(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 22.13/6.92 f_265(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_266(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 22.13/6.92 f_266(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_267(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 22.13/6.92 f_267(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_268(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_268(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_270(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 < v9 22.13/6.92 f_270(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_272(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_272(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_274(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 22.13/6.92 f_274(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_276(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_276(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_279(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_279(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_282(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 22.13/6.92 f_282(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_284(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 22.13/6.92 f_284(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_286(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 22.13/6.92 f_286(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_288(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_288(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_290(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 < v11 22.13/6.92 f_290(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_292(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_292(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_294(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 22.13/6.92 f_294(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_296(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_296(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_299(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_299(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_302(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 22.13/6.92 f_302(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_304(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_304(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_306(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_306(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_308(v9, v11, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) :|: 0 = 0 22.13/6.92 f_308(v9, v11, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) -> f_309(v9, v11, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) :|: TRUE 22.13/6.92 f_309(v9, v11, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) -> f_361(v9, v11, v1, v2, v3, v4, v5, v6, v7, v8, 0, v9, 3, 1, 4) :|: TRUE 22.13/6.92 f_361(v77, v78, v79, v80, v81, v82, v83, v84, v85, v86, 0, v88, 3, 1, 4) -> f_362(v77, v78, 1) :|: TRUE 22.13/6.92 Combined rules. Obtained 3 rulesP rules: 22.13/6.92 f_364(v89:0, v109:0 + v89:0, v91:0, v92:0, 3, 1, 4) -> f_364(v89:0, v109:0, v91:1, 3 + v91:1, 3, 1, 4) :|: v89:0 < v109:0 + v89:0 && v95:0 > 0 && v93:0 > 0 && v109:0 + v89:0 > 1 && v109:0 > 0 && v91:1 > 0 22.13/6.92 f_260 -> f_364(v9:0, v11:0, v91:0, 3 + v91:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v9:0 > 0 && v11:0 > 0 && v91:0 > 0 22.13/6.92 f_364(v108:0 + v90:0, v90:0, v91:0, v92:0, 3, 1, 4) -> f_364(v108:0, v90:0, v91:1, 3 + v91:1, 3, 1, 4) :|: v95:0 > 0 && v93:0 > 0 && v90:0 < v108:0 + v90:0 && v108:0 + v90:0 > 1 && v108:0 > 0 && v91:1 > 0 22.13/6.92 Filtered unneeded arguments: 22.13/6.92 f_364(x1, x2, x3, x4, x5, x6, x7) -> f_364(x1, x2) 22.13/6.92 Removed division, modulo operations, cleaned up constraints. Obtained 3 rules.P rules: 22.13/6.92 f_364(v89:0, sum~v109:0~v89:0) -> f_364(v89:0, v109:0) :|: v109:0 + v89:0 > 1 && v109:0 > 0 && v89:0 < v109:0 + v89:0 && sum~v109:0~v89:0 = v109:0 + v89:0 22.13/6.92 f_260 -> f_364(v9:0, v11:0) :|: v9:0 > 0 && v11:0 > 0 22.13/6.92 f_364(sum~v108:0~v90:0, v90:0) -> f_364(v108:0, v90:0) :|: v108:0 + v90:0 > 1 && v108:0 > 0 && v90:0 < v108:0 + v90:0 && sum~v108:0~v90:0 = v108:0 + v90:0 22.13/6.92 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (8) 22.13/6.92 Obligation: 22.13/6.92 Rules: 22.13/6.92 f_364(v89:0, sum~v109:0~v89:0) -> f_364(v89:0, v109:0) :|: v109:0 + v89:0 > 1 && v109:0 > 0 && v89:0 < v109:0 + v89:0 && sum~v109:0~v89:0 = v109:0 + v89:0 22.13/6.92 f_260 -> f_364(v9:0, v11:0) :|: v9:0 > 0 && v11:0 > 0 22.13/6.92 f_364(sum~v108:0~v90:0, v90:0) -> f_364(v108:0, v90:0) :|: v108:0 + v90:0 > 1 && v108:0 > 0 && v90:0 < v108:0 + v90:0 && sum~v108:0~v90:0 = v108:0 + v90:0 22.13/6.92 Start term: f_260 22.13/6.92 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (9) IRS2T2 (EQUIVALENT) 22.13/6.92 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 22.13/6.92 22.13/6.92 (f_364_2,1) 22.13/6.92 (f_260_2,2) 22.13/6.92 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (10) 22.13/6.92 Obligation: 22.13/6.92 START: 2; 22.13/6.92 22.13/6.92 FROM: 1; 22.13/6.92 oldX0 := x0; 22.13/6.92 oldX1 := x1; 22.13/6.92 oldX2 := oldX1 - oldX0; 22.13/6.92 assume(oldX2 + oldX0 > 1 && oldX2 > 0 && oldX0 < oldX2 + oldX0 && oldX1 = oldX2 + oldX0); 22.13/6.92 x0 := oldX0; 22.13/6.92 x1 := oldX1 - oldX0; 22.13/6.92 TO: 1; 22.13/6.92 22.13/6.92 FROM: 2; 22.13/6.92 oldX0 := x0; 22.13/6.92 oldX1 := x1; 22.13/6.92 oldX2 := nondet(); 22.13/6.92 oldX3 := nondet(); 22.13/6.92 assume(oldX2 > 0 && oldX3 > 0); 22.13/6.92 x0 := oldX2; 22.13/6.92 x1 := oldX3; 22.13/6.92 TO: 1; 22.13/6.92 22.13/6.92 FROM: 1; 22.13/6.92 oldX0 := x0; 22.13/6.92 oldX1 := x1; 22.13/6.92 oldX2 := oldX0 - oldX1; 22.13/6.92 assume(oldX2 + oldX1 > 1 && oldX2 > 0 && oldX1 < oldX2 + oldX1 && oldX0 = oldX2 + oldX1); 22.13/6.92 x0 := oldX0 - oldX1; 22.13/6.92 x1 := oldX1; 22.13/6.92 TO: 1; 22.13/6.92 22.13/6.92 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (11) T2 (EQUIVALENT) 22.13/6.92 Used the following cutpoint-specific lexicographic rank functions: 22.13/6.92 * For cutpoint 5, used the following rank functions/bounds (in descending priority order): 22.13/6.92 - RF x1+x0, bound 3 22.13/6.92 - RF x1, bound 2 22.13/6.92 22.13/6.92 ---------------------------------------- 22.13/6.92 22.13/6.92 (12) 22.13/6.92 YES 22.28/7.00 EOF