20.19/7.17 YES 20.31/7.18 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 20.31/7.18 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.31/7.18 20.31/7.18 20.31/7.18 Termination of the given C Problem could be proven: 20.31/7.18 20.31/7.18 (0) C Problem 20.31/7.18 (1) CToLLVMProof [EQUIVALENT, 177 ms] 20.31/7.18 (2) LLVM problem 20.31/7.18 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3131 ms] 20.31/7.18 (4) LLVM Symbolic Execution Graph 20.31/7.18 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 20.31/7.18 (6) LLVM Symbolic Execution Lasso 20.31/7.18 (7) Lasso2IRS [SOUND, 194 ms] 20.31/7.18 (8) IntTRS 20.31/7.18 (9) IRS2T2 [EQUIVALENT, 0 ms] 20.31/7.18 (10) T2IntSys 20.31/7.18 (11) T2 [EQUIVALENT, 1081 ms] 20.31/7.18 (12) YES 20.31/7.18 20.31/7.18 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (0) 20.31/7.18 Obligation: 20.31/7.18 c file /export/starexec/sandbox/benchmark/theBenchmark.c 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (1) CToLLVMProof (EQUIVALENT) 20.31/7.18 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (2) 20.31/7.18 Obligation: 20.31/7.18 LLVM Problem 20.31/7.18 20.31/7.18 Aliases: 20.31/7.18 20.31/7.18 Data layout: 20.31/7.18 20.31/7.18 "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" 20.31/7.18 20.31/7.18 Machine: 20.31/7.18 20.31/7.18 "x86_64-pc-linux-gnu" 20.31/7.18 20.31/7.18 Type definitions: 20.31/7.18 20.31/7.18 Global variables: 20.31/7.18 20.31/7.18 Function declarations and definitions: 20.31/7.18 20.31/7.18 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.31/7.18 *BasicFunctionTypename: "__VERIFIER_error" returnParam: BasicVoidType parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc 20.31/7.18 *BasicFunctionTypename: "isOdd" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.31/7.18 0: 20.31/7.18 %1 = alloca i32, align 4 20.31/7.18 %2 = alloca i32, align 4 20.31/7.18 store %n, %2 20.31/7.18 %3 = load %2 20.31/7.18 %4 = icmp eq %3 0 20.31/7.18 br %4, %5, %6 20.31/7.18 5: 20.31/7.18 store 0, %1 20.31/7.18 br %14 20.31/7.18 6: 20.31/7.18 %7 = load %2 20.31/7.18 %8 = icmp eq %7 1 20.31/7.18 br %8, %9, %10 20.31/7.18 9: 20.31/7.18 store 1, %1 20.31/7.18 br %14 20.31/7.18 10: 20.31/7.18 %11 = load %2 20.31/7.18 %12 = sub %11 1 20.31/7.18 %13 = call i32 @isEven(i32 %12) 20.31/7.18 store %13, %1 20.31/7.18 br %14 20.31/7.18 14: 20.31/7.18 %15 = load %1 20.31/7.18 ret %15 20.31/7.18 20.31/7.18 *BasicFunctionTypename: "isEven" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.31/7.18 0: 20.31/7.18 %1 = alloca i32, align 4 20.31/7.18 %2 = alloca i32, align 4 20.31/7.18 store %n, %2 20.31/7.18 %3 = load %2 20.31/7.18 %4 = icmp eq %3 0 20.31/7.18 br %4, %5, %6 20.31/7.18 5: 20.31/7.18 store 1, %1 20.31/7.18 br %14 20.31/7.18 6: 20.31/7.18 %7 = load %2 20.31/7.18 %8 = icmp eq %7 1 20.31/7.18 br %8, %9, %10 20.31/7.18 9: 20.31/7.18 store 0, %1 20.31/7.18 br %14 20.31/7.18 10: 20.31/7.18 %11 = load %2 20.31/7.18 %12 = sub %11 1 20.31/7.18 %13 = call i32 @isOdd(i32 %12) 20.31/7.18 store %13, %1 20.31/7.18 br %14 20.31/7.18 14: 20.31/7.18 %15 = load %1 20.31/7.18 ret %15 20.31/7.18 20.31/7.18 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.31/7.18 0: 20.31/7.18 %1 = alloca i32, align 4 20.31/7.18 %n = alloca i32, align 4 20.31/7.18 %result = alloca i32, align 4 20.31/7.18 %mod = alloca i32, align 4 20.31/7.18 store 0, %1 20.31/7.18 %2 = call i32 @__VERIFIER_nondet_int() 20.31/7.18 store %2, %n 20.31/7.18 %3 = load %n 20.31/7.18 %4 = icmp slt %3 0 20.31/7.18 br %4, %5, %6 20.31/7.18 5: 20.31/7.18 store 0, %1 20.31/7.18 br %20 20.31/7.18 6: 20.31/7.18 %7 = load %n 20.31/7.18 %8 = call i32 @isOdd(i32 %7) 20.31/7.18 store %8, %result 20.31/7.18 %9 = load %n 20.31/7.18 %10 = srem %9 2 20.31/7.18 store %10, %mod 20.31/7.18 %11 = load %result 20.31/7.18 %12 = icmp slt %11 0 20.31/7.18 br %12, %17, %13 20.31/7.18 13: 20.31/7.18 %14 = load %result 20.31/7.18 %15 = load %mod 20.31/7.18 %16 = icmp eq %14 %15 20.31/7.18 br %16, %17, %18 20.31/7.18 17: 20.31/7.18 store 0, %1 20.31/7.18 br %20 20.31/7.18 18: 20.31/7.18 br %19 20.31/7.18 19: 20.31/7.18 Unnamed Call-Instruction = call BasicVoidType (...)* @__VERIFIER_error() noreturn 20.31/7.18 unreachable 20.31/7.18 20: 20.31/7.18 %21 = load %1 20.31/7.18 ret %21 20.31/7.18 20.31/7.18 20.31/7.18 Analyze Termination of all function calls matching the pattern: 20.31/7.18 main() 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (3) LLVMToTerminationGraphProof (EQUIVALENT) 20.31/7.18 Constructed symbolic execution graph for LLVM program and proved memory safety. 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (4) 20.31/7.18 Obligation: 20.31/7.18 SE Graph 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 20.31/7.18 Converted SEGraph to 1 independent lasso. 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (6) 20.31/7.18 Obligation: 20.31/7.18 Lasso 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (7) Lasso2IRS (SOUND) 20.31/7.18 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 20.31/7.18 Generated rules. Obtained 45 rulesP rules: 20.31/7.18 f_326(v67, v78, v68, v69, v70, v71, v72, v73, v74, v75, v79, 0, v77, 3, 1, 4) -> f_327(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) :|: 1 <= v80 && v81 = 3 + v80 && 4 <= v81 20.31/7.18 f_327(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) -> f_328(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) :|: TRUE 20.31/7.18 f_328(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) -> f_329(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_329(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) -> f_331(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) :|: v67 != 0 20.31/7.18 f_331(v67, v78, v80, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, 0, v77, 3, 1, 4) -> f_333(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_333(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 4) -> f_335(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 4) :|: TRUE 20.31/7.18 f_335(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 4) -> f_337(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_337(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 4) -> f_340(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) :|: v67 != 1 && 2 <= v67 20.31/7.18 f_340(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) -> f_343(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) :|: 0 = 0 20.31/7.18 f_343(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) -> f_346(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) :|: TRUE 20.31/7.18 f_346(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) -> f_349(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) :|: 0 = 0 20.31/7.18 f_349(v67, v78, v80, 0, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 2, 1, 4) -> f_352(v67, v78, v80, 0, v96, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 2, 4) :|: 1 + v96 = v67 && 1 <= v96 20.31/7.18 f_352(v67, v78, v80, 0, v96, v68, v69, v70, v71, v72, v73, v74, v75, v79, v81, v77, 3, 1, 2, 4) -> f_355(v96, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, 0, v77, v67, 3, 1, 2, 4) :|: 0 = 0 20.31/7.18 f_355(v96, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, 0, v77, v67, 3, 1, 2, 4) -> f_358(v96, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, 0, v77, v67, 3, 1, 2, 4) :|: TRUE 20.31/7.18 f_358(v96, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, 0, v77, v67, 3, 1, 2, 4) -> f_363(v96, v110, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, 0, v77, v67, 3, 1, 2, 4) :|: 1 <= v110 && v111 = 3 + v110 && 4 <= v111 20.31/7.18 f_363(v96, v110, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, 0, v77, v67, 3, 1, 2, 4) -> f_366(v96, v110, v112, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, 0, v77, v67, 3, 1, 2, 4) :|: 1 <= v112 && v113 = 3 + v112 && 4 <= v113 20.31/7.18 f_366(v96, v110, v112, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, 0, v77, v67, 3, 1, 2, 4) -> f_369(v96, v110, v112, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, 0, v77, v67, 3, 1, 2, 4) :|: TRUE 20.31/7.18 f_369(v96, v110, v112, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, 0, v77, v67, 3, 1, 2, 4) -> f_372(v96, v110, v112, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, 0, v77, v67, 3, 1, 2, 4) :|: 0 = 0 20.31/7.18 f_372(v96, v110, v112, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, 0, v77, v67, 3, 1, 2, 4) -> f_375(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 2, 4) :|: 0 = 0 20.31/7.18 f_375(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 2, 4) -> f_378(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 2, 4) :|: TRUE 20.31/7.18 f_378(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 2, 4) -> f_381(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 2, 4) :|: 0 = 0 20.31/7.18 f_381(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 2, 4) -> f_385(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) :|: v96 != 1 && 2 <= v96 && 3 <= v67 20.31/7.18 f_385(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) -> f_389(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) :|: 0 = 0 20.31/7.18 f_389(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) -> f_393(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) :|: TRUE 20.31/7.18 f_393(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) -> f_396(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) :|: 0 = 0 20.31/7.18 f_396(v96, v110, v112, 0, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) -> f_399(v96, v110, v112, 0, v123, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) :|: 1 + v123 = v96 && 1 <= v123 20.31/7.18 f_399(v96, v110, v112, 0, v123, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v111, v113, v77, v67, 3, 1, 4, 2) -> f_402(v123, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v110, v111, v112, v113, 0, v77, v67, v96, 3, 1, 4, 2) :|: 0 = 0 20.31/7.18 f_402(v123, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v110, v111, v112, v113, 0, v77, v67, v96, 3, 1, 4, 2) -> f_405(v123, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v110, v111, v112, v113, 0, v77, v67, v96, 3, 1, 4, 2) :|: TRUE 20.31/7.18 f_405(v123, v68, v69, v70, v71, v72, v73, v74, v75, v78, v79, v80, v81, v110, v111, v112, v113, 0, v77, v67, v96, 3, 1, 4, 2) -> f_324(v123, v68, v69, v70, v71, v72, v73, v74, v75, 0, v77, 3, 1, 4) :|: TRUE 20.31/7.18 f_324(v67, v68, v69, v70, v71, v72, v73, v74, v75, 0, v77, 3, 1, 4) -> f_326(v67, v78, v68, v69, v70, v71, v72, v73, v74, v75, v79, 0, v77, 3, 1, 4) :|: 1 <= v78 && v79 = 3 + v78 && 4 <= v79 20.31/7.18 f_222 -> f_223(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 20.31/7.18 f_223(v1, v2, 3, 1, 4) -> f_224(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 20.31/7.18 f_224(v1, v3, v2, v4, 3, 1, 4) -> f_225(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 20.31/7.18 f_225(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_226(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 20.31/7.18 f_226(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_227(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 20.31/7.18 f_227(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_228(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 20.31/7.18 f_228(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_229(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 20.31/7.18 f_229(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_230(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_230(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_232(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 <= v9 20.31/7.18 f_232(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_234(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_234(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_236(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: TRUE 20.31/7.18 f_236(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_238(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_238(v1, v3, v5, v7, v9, 0, v2, v4, v6, v8, 3, 1, 4) -> f_240(v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) :|: 0 = 0 20.31/7.18 f_240(v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) -> f_242(v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) :|: TRUE 20.31/7.18 f_242(v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, 3, 1, 4) -> f_324(v9, v1, v2, v3, v4, v5, v6, v7, v8, 0, v9, 3, 1, 4) :|: TRUE 20.31/7.18 Combined rules. Obtained 3 rulesP rules: 20.31/7.18 f_326(1 + (1 + v123:0), v78:0, v68:0, v69:0, v70:0, v71:0, v72:0, v73:0, v74:0, v75:0, v79:0, 0, v77:0, 3, 1, 4) -> f_326(v123:0, v78:1, v68:0, v69:0, v70:0, v71:0, v72:0, v73:0, v74:0, v75:0, 3 + v78:1, 0, v77:0, 3, 1, 4) :|: v123:0 > 0 && v80:0 > 0 && v123:0 < -2 && v110:0 > 0 && v112:0 > 0 && v78:1 > 0 20.31/7.18 f_326(1 + (1 + v123:0), v78:0, v68:0, v69:0, v70:0, v71:0, v72:0, v73:0, v74:0, v75:0, v79:0, 0, v77:0, 3, 1, 4) -> f_326(v123:0, v78:1, v68:0, v69:0, v70:0, v71:0, v72:0, v73:0, v74:0, v75:0, 3 + v78:1, 0, v77:0, 3, 1, 4) :|: v123:0 > 0 && v80:0 > 0 && v110:0 > 0 && v112:0 > 0 && v78:1 > 0 20.31/7.18 f_222 -> f_326(v9:0, v78:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, v5:0, 3 + v5:0, v7:0, 3 + v7:0, 3 + v78:0, 0, v9:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v9:0 > -1 && v78:0 > 0 20.31/7.18 Filtered unneeded arguments: 20.31/7.18 f_326(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_326(x1) 20.31/7.18 Removed division, modulo operations, cleaned up constraints. Obtained 3 rules.P rules: 20.31/7.18 f_326(sum~cons_1~sum~cons_1~v123:0) -> f_326(v123:0) :|: v123:0 > 0 && v123:0 < -2 && sum~cons_1~sum~cons_1~v123:0 = 1 + (1 + v123:0) 20.31/7.18 f_326(sum~cons_1~sum~cons_1~v123:0) -> f_326(v123:0) :|: v123:0 > 0 && sum~cons_1~sum~cons_1~v123:0 = 1 + (1 + v123:0) 20.31/7.18 f_222 -> f_326(v9:0) :|: v9:0 > -1 20.31/7.18 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (8) 20.31/7.18 Obligation: 20.31/7.18 Rules: 20.31/7.18 f_326(sum~cons_1~sum~cons_1~v123:0) -> f_326(v123:0) :|: v123:0 > 0 && v123:0 < -2 && sum~cons_1~sum~cons_1~v123:0 = 1 + (1 + v123:0) 20.31/7.18 f_326(x) -> f_326(x1) :|: x1 > 0 && x = 1 + (1 + x1) 20.31/7.18 f_222 -> f_326(v9:0) :|: v9:0 > -1 20.31/7.18 Start term: f_222 20.31/7.18 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (9) IRS2T2 (EQUIVALENT) 20.31/7.18 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 20.31/7.18 20.31/7.18 (f_326_1,1) 20.31/7.18 (f_222_1,2) 20.31/7.18 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (10) 20.31/7.18 Obligation: 20.31/7.18 START: 2; 20.31/7.18 20.31/7.18 FROM: 1; 20.31/7.18 oldX0 := x0; 20.31/7.18 oldX1 := oldX0 - 2; 20.31/7.18 assume(oldX1 > 0 && oldX1 < -2 && oldX0 = 1 + (1 + oldX1)); 20.31/7.18 x0 := oldX0 - 2; 20.31/7.18 TO: 1; 20.31/7.18 20.31/7.18 FROM: 1; 20.31/7.18 oldX0 := x0; 20.31/7.18 oldX1 := oldX0 - 2; 20.31/7.18 assume(oldX1 > 0 && oldX0 = 1 + (1 + oldX1)); 20.31/7.18 x0 := oldX0 - 2; 20.31/7.18 TO: 1; 20.31/7.18 20.31/7.18 FROM: 2; 20.31/7.18 oldX0 := x0; 20.31/7.18 oldX1 := nondet(); 20.31/7.18 assume(oldX1 > -1); 20.31/7.18 x0 := oldX1; 20.31/7.18 TO: 1; 20.31/7.18 20.31/7.18 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (11) T2 (EQUIVALENT) 20.31/7.18 Initially, performed program simplifications using lexicographic rank functions: 20.31/7.18 * Removed transitions 1, 4, 5 using the following rank functions: 20.31/7.18 - Rank function 1: 20.31/7.18 RF for loc. 5: 1+x0 20.31/7.18 RF for loc. 6: x0 20.31/7.18 Bound for (chained) transitions 4: 3 20.31/7.18 Bound for (chained) transitions 5: 3 20.31/7.18 - Rank function 2: 20.31/7.18 RF for loc. 5: 0 20.31/7.18 RF for loc. 6: -1 20.31/7.18 Bound for (chained) transitions 1: 0 20.31/7.18 20.31/7.18 ---------------------------------------- 20.31/7.18 20.31/7.18 (12) 20.31/7.18 YES 20.34/8.71 EOF