20.06/7.22 YES 20.06/7.23 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 20.06/7.23 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.06/7.23 20.06/7.23 20.06/7.23 Termination of the given C Problem could be proven: 20.06/7.23 20.06/7.23 (0) C Problem 20.06/7.23 (1) CToLLVMProof [EQUIVALENT, 173 ms] 20.06/7.23 (2) LLVM problem 20.06/7.23 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3245 ms] 20.06/7.23 (4) LLVM Symbolic Execution Graph 20.06/7.23 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 20.06/7.23 (6) LLVM Symbolic Execution Lasso 20.06/7.23 (7) Lasso2IRS [SOUND, 77 ms] 20.06/7.23 (8) IntTRS 20.06/7.23 (9) IRS2T2 [EQUIVALENT, 0 ms] 20.06/7.23 (10) T2IntSys 20.06/7.23 (11) T2 [EQUIVALENT, 1061 ms] 20.06/7.23 (12) YES 20.06/7.23 20.06/7.23 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (0) 20.06/7.23 Obligation: 20.06/7.23 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (1) CToLLVMProof (EQUIVALENT) 20.06/7.23 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (2) 20.06/7.23 Obligation: 20.06/7.23 LLVM Problem 20.06/7.23 20.06/7.23 Aliases: 20.06/7.23 20.06/7.23 Data layout: 20.06/7.23 20.06/7.23 "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" 20.06/7.23 20.06/7.23 Machine: 20.06/7.23 20.06/7.23 "x86_64-pc-linux-gnu" 20.06/7.23 20.06/7.23 Type definitions: 20.06/7.23 20.06/7.23 Global variables: 20.06/7.23 20.06/7.23 Function declarations and definitions: 20.06/7.23 20.06/7.23 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.06/7.23 *BasicFunctionTypename: "twoWay" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (terminate i32, n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.06/7.23 0: 20.06/7.23 %1 = alloca i32, align 4 20.06/7.23 %2 = alloca i32, align 4 20.06/7.23 %3 = alloca i32, align 4 20.06/7.23 %m = alloca i32, align 4 20.06/7.23 store %terminate, %2 20.06/7.23 store %n, %3 20.06/7.23 %4 = load %3 20.06/7.23 %5 = icmp slt %4 0 20.06/7.23 br %5, %6, %7 20.06/7.23 6: 20.06/7.23 store 1, %1 20.06/7.23 br %23 20.06/7.23 7: 20.06/7.23 %8 = load %3 20.06/7.23 store %8, %m 20.06/7.23 %9 = load %2 20.06/7.23 %10 = icmp ne %9 0 20.06/7.23 br %10, %11, %14 20.06/7.23 11: 20.06/7.23 %12 = load %m 20.06/7.23 %13 = add %12 -1 20.06/7.23 store %13, %m 20.06/7.23 br %17 20.06/7.23 14: 20.06/7.23 %15 = load %m 20.06/7.23 %16 = add %15 1 20.06/7.23 store %16, %m 20.06/7.23 br %17 20.06/7.23 17: 20.06/7.23 %18 = load %m 20.06/7.23 %19 = load %2 20.06/7.23 %20 = load %m 20.06/7.23 %21 = call i32 @twoWay(i32 %19, i32 %20) 20.06/7.23 %22 = mul %18 %21 20.06/7.23 store %22, %1 20.06/7.23 br %23 20.06/7.23 23: 20.06/7.23 %24 = load %1 20.06/7.23 ret %24 20.06/7.23 20.06/7.23 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.06/7.23 0: 20.06/7.23 %1 = alloca i32, align 4 20.06/7.23 %x = alloca i32, align 4 20.06/7.23 %y = alloca i32, align 4 20.06/7.23 %z = alloca i32, align 4 20.06/7.23 store 0, %1 20.06/7.23 %2 = call i32 @__VERIFIER_nondet_int() 20.06/7.23 store %2, %x 20.06/7.23 %3 = load %x 20.06/7.23 %4 = icmp slt %3 0 20.06/7.23 br %4, %5, %6 20.06/7.23 5: 20.06/7.23 store 0, %1 20.06/7.23 br %15 20.06/7.23 6: 20.06/7.23 %7 = call i32 @__VERIFIER_nondet_int() 20.06/7.23 store %7, %y 20.06/7.23 %8 = load %y 20.06/7.23 %9 = icmp slt %8 0 20.06/7.23 br %9, %10, %11 20.06/7.23 10: 20.06/7.23 store 0, %1 20.06/7.23 br %15 20.06/7.23 11: 20.06/7.23 %12 = call i32 @__VERIFIER_nondet_int() 20.06/7.23 store %12, %z 20.06/7.23 %13 = load %x 20.06/7.23 %14 = call i32 @twoWay(i32 1, i32 %13) 20.06/7.23 br %15 20.06/7.23 15: 20.06/7.23 %16 = load %1 20.06/7.23 ret %16 20.06/7.23 20.06/7.23 20.06/7.23 Analyze Termination of all function calls matching the pattern: 20.06/7.23 main() 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (3) LLVMToTerminationGraphProof (EQUIVALENT) 20.06/7.23 Constructed symbolic execution graph for LLVM program and proved memory safety. 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (4) 20.06/7.23 Obligation: 20.06/7.23 SE Graph 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 20.06/7.23 Converted SEGraph to 1 independent lasso. 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (6) 20.06/7.23 Obligation: 20.06/7.23 Lasso 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (7) Lasso2IRS (SOUND) 20.06/7.23 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 20.06/7.23 Generated rules. Obtained 49 rulesP rules: 20.06/7.23 f_275(1, v78, v91, v79, v80, v81, v82, v83, v84, v85, v86, v92, 0, v88, v89, v90, 3, 4) -> f_276(1, v78, v91, v93, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, 0, v88, v89, v90, 3, 4) :|: 1 <= v93 && v94 = 3 + v93 && 4 <= v94 20.06/7.23 f_276(1, v78, v91, v93, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, 0, v88, v89, v90, 3, 4) -> f_277(1, v78, v91, v93, v95, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, 0, v88, v89, v90, 3, 4) :|: 1 <= v95 && v96 = 3 + v95 && 4 <= v96 20.06/7.23 f_277(1, v78, v91, v93, v95, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, 0, v88, v89, v90, 3, 4) -> f_278(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: 1 <= v97 && v98 = 3 + v97 && 4 <= v98 20.06/7.23 f_278(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_279(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_279(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_280(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_280(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_281(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_281(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_283(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) :|: 0 <= v78 20.06/7.23 f_283(1, v78, v91, v93, v95, v97, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, 0, v88, v89, v90, 3, 4) -> f_285(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_285(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_287(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_287(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_289(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_289(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_291(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_291(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_293(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_293(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_295(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_295(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_297(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_297(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_299(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_299(1, v78, v91, v93, v95, v97, 0, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_301(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 1 + v126 = v78 && 0 <= 1 + v126 20.06/7.23 f_301(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_302(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_302(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_303(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_303(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_304(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_304(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_305(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_305(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_306(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) :|: 0 = 0 20.06/7.23 f_306(1, v78, v91, v93, v95, v97, 0, v126, v79, v80, v81, v82, v83, v84, v85, v86, v92, v94, v96, v98, v88, v89, v90, 3, 4) -> f_307(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) :|: 0 = 0 20.06/7.23 f_307(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) -> f_308(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) :|: TRUE 20.06/7.23 f_308(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, v91, v92, v93, v94, v95, v96, v97, v98, 0, v88, v89, v90, v78, 3, 4) -> f_274(1, v126, v79, v80, v81, v82, v83, v84, v85, v86, 0, v88, v89, v90, 3, 4) :|: TRUE 20.06/7.23 f_274(1, v78, v79, v80, v81, v82, v83, v84, v85, v86, 0, v88, v89, v90, 3, 4) -> f_275(1, v78, v91, v79, v80, v81, v82, v83, v84, v85, v86, v92, 0, v88, v89, v90, 3, 4) :|: 1 <= v91 && v92 = 3 + v91 && 4 <= v92 20.06/7.23 f_181 -> f_182(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 20.06/7.23 f_182(v1, v2, 3, 1, 4) -> f_183(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 20.06/7.23 f_183(v1, v3, v2, v4, 3, 1, 4) -> f_184(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 20.06/7.23 f_184(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_185(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 20.06/7.23 f_185(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_186(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 20.06/7.23 f_186(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_187(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 20.06/7.23 f_187(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_188(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 20.06/7.23 f_188(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_189(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 20.06/7.23 f_189(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_191(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 <= v9 20.06/7.23 f_191(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_193(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 20.06/7.23 f_193(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_195(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.06/7.23 f_195(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_197(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.06/7.23 f_197(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_199(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.06/7.23 f_199(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_201(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 20.06/7.23 f_201(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_203(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 <= v11 20.06/7.23 f_203(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_205(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 20.06/7.23 f_205(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_207(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.06/7.23 f_207(v1, v3, v5, v7, v9, 0, v11, v2, v4, v6, v8, 3, 1, 4) -> f_209(v1, v3, v5, v7, v9, 0, v11, v13, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.06/7.23 f_209(v1, v3, v5, v7, v9, 0, v11, v13, v2, v4, v6, v8, 3, 1, 4) -> f_211(v1, v3, v5, v7, v9, 0, v11, v13, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.06/7.23 f_211(v1, v3, v5, v7, v9, 0, v11, v13, v2, v4, v6, v8, 3, 1, 4) -> f_213(v1, v3, v5, v7, v9, 0, v11, v13, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 20.06/7.23 f_213(v1, v3, v5, v7, v9, 0, v11, v13, v2, v4, v6, v8, 3, 1, 4) -> f_214(1, v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, v11, v13, 3, 4) :|: 0 = 0 20.06/7.23 f_214(1, v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, v11, v13, 3, 4) -> f_215(1, v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, v11, v13, 3, 4) :|: TRUE 20.06/7.23 f_215(1, v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, v11, v13, 3, 4) -> f_239(1, v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, v9, v11, v13, 3, 4) :|: TRUE 20.06/7.23 f_239(1, v28, v29, v30, v31, v32, v33, v34, v35, v36, 0, v38, v39, v40, 3, 4) -> f_274(1, v28, v29, v30, v31, v32, v33, v34, v35, v36, 0, v38, v39, v40, 3, 4) :|: TRUE 20.06/7.23 Combined rules. Obtained 2 rulesP rules: 20.06/7.23 f_275(1, 1 + v126:0, v91:0, v79:0, v80:0, v81:0, v82:0, v83:0, v84:0, v85:0, v86:0, v92:0, 0, v88:0, v89:0, v90:0, 3, 4) -> f_275(1, v126:0, v91:1, v79:0, v80:0, v81:0, v82:0, v83:0, v84:0, v85:0, v86:0, 3 + v91:1, 0, v88:0, v89:0, v90:0, 3, 4) :|: v95:0 > 0 && v93:0 > 0 && v97:0 > 0 && v126:0 > -2 && v91:1 > 0 20.06/7.23 f_181 -> f_275(1, v9:0, v91:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, v5:0, 3 + v5:0, v7:0, 3 + v7:0, 3 + v91:0, 0, v9:0, v11:0, v13:0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v9:0 > -1 && v11:0 > -1 && v91:0 > 0 20.06/7.23 Filtered unneeded arguments: 20.06/7.23 f_275(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f_275(x2) 20.06/7.23 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 20.06/7.23 f_275(sum~cons_1~v126:0) -> f_275(v126:0) :|: v126:0 > -2 && sum~cons_1~v126:0 = 1 + v126:0 20.06/7.23 f_181 -> f_275(v9:0) :|: v9:0 > -1 20.06/7.23 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (8) 20.06/7.23 Obligation: 20.06/7.23 Rules: 20.06/7.23 f_275(sum~cons_1~v126:0) -> f_275(v126:0) :|: v126:0 > -2 && sum~cons_1~v126:0 = 1 + v126:0 20.06/7.23 f_181 -> f_275(v9:0) :|: v9:0 > -1 20.06/7.23 Start term: f_181 20.06/7.23 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (9) IRS2T2 (EQUIVALENT) 20.06/7.23 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 20.06/7.23 20.06/7.23 (f_275_1,1) 20.06/7.23 (f_181_1,2) 20.06/7.23 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (10) 20.06/7.23 Obligation: 20.06/7.23 START: 2; 20.06/7.23 20.06/7.23 FROM: 1; 20.06/7.23 oldX0 := x0; 20.06/7.23 oldX1 := oldX0 - 1; 20.06/7.23 assume(oldX1 > -2 && oldX0 = 1 + oldX1); 20.06/7.23 x0 := oldX0 - 1; 20.06/7.23 TO: 1; 20.06/7.23 20.06/7.23 FROM: 2; 20.06/7.23 oldX0 := x0; 20.06/7.23 oldX1 := nondet(); 20.06/7.23 assume(oldX1 > -1); 20.06/7.23 x0 := oldX1; 20.06/7.23 TO: 1; 20.06/7.23 20.06/7.23 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (11) T2 (EQUIVALENT) 20.06/7.23 Initially, performed program simplifications using lexicographic rank functions: 20.06/7.23 * Removed transitions 1, 3, 4 using the following rank functions: 20.06/7.23 - Rank function 1: 20.06/7.23 RF for loc. 5: 1+2*x0 20.06/7.23 RF for loc. 6: 2*x0 20.06/7.23 Bound for (chained) transitions 3: 0 20.06/7.23 Bound for (chained) transitions 4: 0 20.06/7.23 - Rank function 2: 20.06/7.23 RF for loc. 5: 0 20.06/7.23 RF for loc. 6: -1 20.06/7.23 Bound for (chained) transitions 1: 0 20.06/7.23 20.06/7.23 ---------------------------------------- 20.06/7.23 20.06/7.23 (12) 20.06/7.23 YES 20.11/8.96 EOF