54.91/15.65 YES 54.91/15.68 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 54.91/15.68 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 54.91/15.68 54.91/15.68 54.91/15.68 Termination of the given C Problem could be proven: 54.91/15.68 54.91/15.68 (0) C Problem 54.91/15.68 (1) CToLLVMProof [EQUIVALENT, 173 ms] 54.91/15.68 (2) LLVM problem 54.91/15.68 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3611 ms] 54.91/15.68 (4) LLVM Symbolic Execution Graph 54.91/15.68 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 54.91/15.68 (6) LLVM Symbolic Execution SCC 54.91/15.68 (7) SCC2IRS [SOUND, 102 ms] 54.91/15.68 (8) IntTRS 54.91/15.68 (9) IRS2T2 [EQUIVALENT, 1 ms] 54.91/15.68 (10) T2IntSys 54.91/15.68 (11) T2 [EQUIVALENT, 1192 ms] 54.91/15.68 (12) YES 54.91/15.68 54.91/15.68 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (0) 54.91/15.68 Obligation: 54.91/15.68 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (1) CToLLVMProof (EQUIVALENT) 54.91/15.68 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (2) 54.91/15.68 Obligation: 54.91/15.68 LLVM Problem 54.91/15.68 54.91/15.68 Aliases: 54.91/15.68 54.91/15.68 Data layout: 54.91/15.68 54.91/15.68 "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" 54.91/15.68 54.91/15.68 Machine: 54.91/15.68 54.91/15.68 "x86_64-pc-linux-gnu" 54.91/15.68 54.91/15.68 Type definitions: 54.91/15.68 54.91/15.68 Global variables: 54.91/15.68 54.91/15.68 Function declarations and definitions: 54.91/15.68 54.91/15.68 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 54.91/15.68 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 54.91/15.68 0: 54.91/15.68 %1 = alloca i32, align 4 54.91/15.68 %x = alloca i32, align 4 54.91/15.68 %y = alloca i32, align 4 54.91/15.68 %z = alloca i32, align 4 54.91/15.68 store 0, %1 54.91/15.68 %2 = call i32 @__VERIFIER_nondet_int() 54.91/15.68 store %2, %x 54.91/15.68 %3 = call i32 @__VERIFIER_nondet_int() 54.91/15.68 store %3, %y 54.91/15.68 %4 = call i32 @__VERIFIER_nondet_int() 54.91/15.68 store %4, %z 54.91/15.68 %5 = call i32 @random() 54.91/15.68 %6 = call i32 @random() 54.91/15.68 %7 = call i32 @random() 54.91/15.68 Unnamed Call-Instruction = call BasicVoidType @loop(i32 %5, i32 %6, i32 %7) 54.91/15.68 %8 = load %1 54.91/15.68 ret %8 54.91/15.68 54.91/15.68 *BasicFunctionTypename: "loop" linkageType: EXTERNALLY_VISIBLE returnParam: BasicVoidType parameters: (a i32, b i32, c i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 54.91/15.68 0: 54.91/15.68 %1 = alloca i32, align 4 54.91/15.68 %2 = alloca i32, align 4 54.91/15.68 %3 = alloca i32, align 4 54.91/15.68 %r = alloca i32, align 4 54.91/15.68 store %a, %1 54.91/15.68 store %b, %2 54.91/15.68 store %c, %3 54.91/15.68 %4 = load %2 54.91/15.68 %5 = load %3 54.91/15.68 %6 = sub %4 %5 54.91/15.68 %7 = icmp sge %6 1 54.91/15.68 br %7, %8, %22 54.91/15.68 8: 54.91/15.68 %9 = load %1 54.91/15.68 %10 = load %3 54.91/15.68 %11 = icmp eq %9 %10 54.91/15.68 br %11, %12, %22 54.91/15.68 12: 54.91/15.68 %13 = call i32 @random() 54.91/15.68 store %13, %r 54.91/15.68 store 10, %2 54.91/15.68 %14 = load %3 54.91/15.68 %15 = add %14 1 54.91/15.68 %16 = load %r 54.91/15.68 %17 = add %15 %16 54.91/15.68 store %17, %3 54.91/15.68 %18 = load %3 54.91/15.68 store %18, %1 54.91/15.68 %19 = load %1 54.91/15.68 %20 = load %2 54.91/15.68 %21 = load %3 54.91/15.68 Unnamed Call-Instruction = call BasicVoidType @loop(i32 %19, i32 %20, i32 %21) 54.91/15.68 br %22 54.91/15.68 22: 54.91/15.68 ret void 54.91/15.68 54.91/15.68 *BasicFunctionTypename: "random" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 54.91/15.68 0: 54.91/15.68 %1 = alloca i32, align 4 54.91/15.68 %x = alloca i32, align 4 54.91/15.68 %2 = call i32 @__VERIFIER_nondet_int() 54.91/15.68 store %2, %x 54.91/15.68 %3 = load %x 54.91/15.68 %4 = icmp slt %3 0 54.91/15.68 br %4, %5, %8 54.91/15.68 5: 54.91/15.68 %6 = load %x 54.91/15.68 %7 = sub 0 %6 54.91/15.68 store %7, %1 54.91/15.68 br %10 54.91/15.68 8: 54.91/15.68 %9 = load %x 54.91/15.68 store %9, %1 54.91/15.68 br %10 54.91/15.68 10: 54.91/15.68 %11 = load %1 54.91/15.68 ret %11 54.91/15.68 54.91/15.68 54.91/15.68 Analyze Termination of all function calls matching the pattern: 54.91/15.68 main() 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (3) LLVMToTerminationGraphProof (EQUIVALENT) 54.91/15.68 Constructed symbolic execution graph for LLVM program and proved memory safety. 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (4) 54.91/15.68 Obligation: 54.91/15.68 SE Graph 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (5) SymbolicExecutionGraphToSCCProof (SOUND) 54.91/15.68 Splitted symbolic execution graph to 1 SCC. 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (6) 54.91/15.68 Obligation: 54.91/15.68 SCC 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (7) SCC2IRS (SOUND) 54.91/15.68 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 54.91/15.68 Generated rules. Obtained 71 rulesP rules: 54.91/15.68 f_287(v19, v41, v75, v129, v1, v2, v3, v4, v5, v6, v7, v8, v130, 0, v9, v11, v13, 3, 1, 4) -> f_288(v19, v41, v75, v129, v131, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, 0, v9, v11, v13, 3, 1, 4) :|: 1 <= v131 && v132 = 3 + v131 && 4 <= v132 54.91/15.68 f_288(v19, v41, v75, v129, v131, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, 0, v9, v11, v13, 3, 1, 4) -> f_289(v19, v41, v75, v129, v131, v133, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, 0, v9, v11, v13, 3, 1, 4) :|: 1 <= v133 && v134 = 3 + v133 && 4 <= v134 54.91/15.68 f_289(v19, v41, v75, v129, v131, v133, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, 0, v9, v11, v13, 3, 1, 4) -> f_290(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: 1 <= v135 && v136 = 3 + v135 && 4 <= v136 54.91/15.68 f_290(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_291(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: TRUE 54.91/15.68 f_291(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_292(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: TRUE 54.91/15.68 f_292(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_293(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: TRUE 54.91/15.68 f_293(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_294(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: 0 = 0 54.91/15.68 f_294(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_295(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: 0 = 0 54.91/15.68 f_295(v19, v41, v75, v129, v131, v133, v135, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_296(v19, v41, v75, v129, v131, v133, v135, v140, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: v140 + v75 = v41 54.91/15.68 f_296(v19, v41, v75, v129, v131, v133, v135, v140, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_297(v19, v41, v75, v129, v131, v133, v135, v140, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) :|: 1 <= v140 && 1 <= v41 54.91/15.68 f_297(v19, v41, v75, v129, v131, v133, v135, v140, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 1, 4) -> f_299(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_299(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_301(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: TRUE 54.91/15.68 f_301(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_303(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_303(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_306(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_306(v19, v41, v75, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_309(v75, v41, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: v19 = v75 54.91/15.68 f_309(v75, v41, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_313(v75, v41, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_313(v75, v41, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_315(v75, v41, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: TRUE 54.91/15.68 f_315(v75, v41, v129, v131, v133, v135, v140, 1, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_317(v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: TRUE 54.91/15.68 f_317(v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_320(v233, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 1 <= v233 && v234 = 3 + v233 && 4 <= v234 54.91/15.68 f_320(v233, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_323(v233, v235, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 1 <= v235 && v236 = 3 + v235 && 4 <= v236 54.91/15.68 f_323(v233, v235, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_326(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: TRUE 54.91/15.68 f_326(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_327(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: TRUE 54.91/15.68 f_327(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_328(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 0 = 0 54.91/15.68 f_328(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_329(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: v237 < 0 54.91/15.68 f_328(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_330(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 0 <= v237 54.91/15.68 f_329(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_331(v233, v235, v237, 1, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: 0 = 0 54.91/15.68 f_331(v233, v235, v237, 1, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_333(v233, v235, v237, 1, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: TRUE 54.91/15.68 f_333(v233, v235, v237, 1, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_335(v233, v235, v237, 1, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: 0 = 0 54.91/15.68 f_335(v233, v235, v237, 1, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_337(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: v255 + v237 = 0 && 1 <= v255 54.91/15.68 f_337(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_339(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: TRUE 54.91/15.68 f_339(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_341(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: TRUE 54.91/15.68 f_341(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_343(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) :|: 0 = 0 54.91/15.68 f_343(v233, v235, v237, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 3, 4) -> f_345(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_345(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_347(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: TRUE 54.91/15.68 f_347(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_349(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: TRUE 54.91/15.68 f_349(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_351(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: 0 = 0 54.91/15.68 f_351(v75, v41, v129, v131, v133, v135, v140, 1, v255, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_353(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: v302 = 1 + v75 && 1 <= v302 54.91/15.68 f_353(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_355(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: 0 = 0 54.91/15.68 f_355(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_357(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) :|: v304 = v302 + v255 && 2 <= v304 54.91/15.68 f_357(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) -> f_359(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) :|: TRUE 54.91/15.68 f_359(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) -> f_361(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) :|: 0 = 0 54.91/15.68 f_361(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) -> f_363(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) :|: TRUE 54.91/15.68 f_363(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) -> f_365(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) :|: 0 = 0 54.91/15.68 f_365(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4, 2) -> f_367(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4, 2) :|: 0 = 0 54.91/15.68 f_367(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4, 2) -> f_369(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4, 2) :|: 0 = 0 54.91/15.68 f_369(v75, v41, v129, v131, v133, v135, v140, 1, v255, v302, v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4, 2) -> f_371(v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v255, v75, v41, v140, 1, v302, 3, 4, 2) :|: 0 = 0 54.91/15.68 f_371(v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v255, v75, v41, v140, 1, v302, 3, 4, 2) -> f_373(v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v255, 3, 1, 4, 2) :|: TRUE 54.91/15.68 f_373(v304, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v255, 3, 1, 4, 2) -> f_285(v304, 10, v304, v1, v2, v3, v4, v5, v6, v7, v8, 0, v9, v11, v13, 3, 1, 4) :|: TRUE 54.91/15.68 f_285(v19, v41, v75, v1, v2, v3, v4, v5, v6, v7, v8, 0, v9, v11, v13, 3, 1, 4) -> f_287(v19, v41, v75, v129, v1, v2, v3, v4, v5, v6, v7, v8, v130, 0, v9, v11, v13, 3, 1, 4) :|: 1 <= v129 && v130 = 3 + v129 && 4 <= v130 54.91/15.68 f_330(v233, v235, v237, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, 0, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_332(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 0 = 0 54.91/15.68 f_332(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_334(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: TRUE 54.91/15.68 f_334(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_336(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 0 = 0 54.91/15.68 f_336(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_338(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: TRUE 54.91/15.68 f_338(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_340(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: TRUE 54.91/15.68 f_340(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_342(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) :|: 0 = 0 54.91/15.68 f_342(v233, v235, v237, 0, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, v234, v236, v9, v11, v13, v75, v41, v140, 1, 3, 4) -> f_344(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_344(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_346(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: TRUE 54.91/15.68 f_346(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_348(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: TRUE 54.91/15.68 f_348(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_350(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: 0 = 0 54.91/15.68 f_350(v75, v41, v129, v131, v133, v135, v140, 1, v237, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_352(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: v301 = 1 + v75 && 1 <= v301 54.91/15.68 f_352(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_354(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: 0 = 0 54.91/15.68 f_354(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_356(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: v303 = v301 + v237 && 1 <= v303 54.91/15.68 f_356(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_358(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: TRUE 54.91/15.68 f_358(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_360(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: 0 = 0 54.91/15.68 f_360(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_362(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: TRUE 54.91/15.68 f_362(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_364(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) :|: 0 = 0 54.91/15.68 f_364(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 10, 3, 4) -> f_366(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_366(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_368(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) :|: 0 = 0 54.91/15.68 f_368(v75, v41, v129, v131, v133, v135, v140, 1, v237, v301, v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v130, v132, v134, v136, 0, v9, v11, v13, 3, 4) -> f_370(v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v237, v75, v41, v140, 1, v301, 3, 4) :|: 0 = 0 54.91/15.68 f_370(v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v237, v75, v41, v140, 1, v301, 3, 4) -> f_372(v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v237, 3, 1, 4) :|: TRUE 54.91/15.68 f_372(v303, 10, v1, v2, v3, v4, v5, v6, v7, v8, v129, v130, v131, v132, v133, v134, v135, v136, 0, v9, v11, v13, v237, 3, 1, 4) -> f_285(v303, 10, v303, v1, v2, v3, v4, v5, v6, v7, v8, 0, v9, v11, v13, 3, 1, 4) :|: TRUE 54.91/15.68 Combined rules. Obtained 2 rulesP rules: 54.91/15.68 f_287(v19:0, v140:0 + v19:0, v19:0, v129:0, v1:0, v2:0, v3:0, v4:0, v5:0, v6:0, v7:0, v8:0, v130:0, 0, v9:0, v11:0, v13:0, 3, 1, 4) -> f_287(1 + v19:0 + v237:0, 10, 1 + v19:0 + v237:0, v129:1, v1:0, v2:0, v3:0, v4:0, v5:0, v6:0, v7:0, v8:0, 3 + v129:1, 0, v9:0, v11:0, v13:0, 3, 1, 4) :|: v133:0 > 0 && v131:0 > 0 && v135:0 > 0 && v140:0 + v19:0 > 0 && v140:0 > 0 && v233:0 > 0 && v235:0 > 0 && v237:0 > -1 && v19:0 > -1 && 1 + v19:0 + v237:0 > 0 && v129:1 > 0 54.91/15.68 f_287(v19:0, v140:0 + v19:0, v19:0, v129:0, v1:0, v2:0, v3:0, v4:0, v5:0, v6:0, v7:0, v8:0, v130:0, 0, v9:0, v11:0, v13:0, 3, 1, 4) -> f_287(1 + v19:0 + v255:0, 10, 1 + v19:0 + v255:0, v129:1, v1:0, v2:0, v3:0, v4:0, v5:0, v6:0, v7:0, v8:0, 3 + v129:1, 0, v9:0, v11:0, v13:0, 3, 1, 4) :|: v133:0 > 0 && v131:0 > 0 && v135:0 > 0 && v140:0 + v19:0 > 0 && v140:0 > 0 && v233:0 > 0 && v235:0 > 0 && v237:0 < 0 && v255:0 > 0 && v255:0 + v237:0 = 0 && v19:0 > -1 && 1 + v19:0 + v255:0 > 1 && v129:1 > 0 54.91/15.68 Filtered duplicate arguments: 54.91/15.68 f_287(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_287(x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) 54.91/15.68 Filtered unneeded arguments: 54.91/15.68 f_287(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_287(x1, x2) 54.91/15.68 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 54.91/15.68 f_287(sum~v140:0~v19:0, v19:0) -> f_287(10, 1 + v19:0 + v237:0) :|: v140:0 > 0 && v140:0 + v19:0 > 0 && v237:0 > -1 && 1 + v19:0 + v237:0 > 0 && v19:0 > -1 && sum~v140:0~v19:0 = v140:0 + v19:0 54.91/15.68 f_287(sum~v140:0~v19:0, v19:0) -> f_287(10, 1 + v19:0 + v255:0) :|: v140:0 > 0 && v140:0 + v19:0 > 0 && v255:0 > 0 && 1 + v19:0 + v255:0 > 1 && v19:0 > -1 && sum~v140:0~v19:0 = v140:0 + v19:0 54.91/15.68 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (8) 54.91/15.68 Obligation: 54.91/15.68 Rules: 54.91/15.68 f_287(sum~v140:0~v19:0, v19:0) -> f_287(10, 1 + v19:0 + v237:0) :|: v140:0 > 0 && v140:0 + v19:0 > 0 && v237:0 > -1 && 1 + v19:0 + v237:0 > 0 && v19:0 > -1 && sum~v140:0~v19:0 = v140:0 + v19:0 54.91/15.68 f_287(x, x1) -> f_287(10, 1 + x1 + x2) :|: x3 > 0 && x3 + x1 > 0 && x2 > 0 && 1 + x1 + x2 > 1 && x1 > -1 && x = x3 + x1 54.91/15.68 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (9) IRS2T2 (EQUIVALENT) 54.91/15.68 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 54.91/15.68 54.91/15.68 (f_287_2,1) 54.91/15.68 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (10) 54.91/15.68 Obligation: 54.91/15.68 START: 0; 54.91/15.68 54.91/15.68 FROM: 0; 54.91/15.68 TO: 1; 54.91/15.68 54.91/15.68 FROM: 1; 54.91/15.68 oldX0 := x0; 54.91/15.68 oldX1 := x1; 54.91/15.68 oldX3 := oldX0 - oldX1; 54.91/15.68 oldX2 := nondet(); 54.91/15.68 assume(oldX3 > 0 && oldX3 + oldX1 > 0 && oldX2 > -1 && 1 + oldX1 + oldX2 > 0 && oldX1 > -1 && oldX0 = oldX3 + oldX1); 54.91/15.68 x0 := 10; 54.91/15.68 x1 := 1 + oldX1 + oldX2; 54.91/15.68 TO: 1; 54.91/15.68 54.91/15.68 FROM: 1; 54.91/15.68 oldX0 := x0; 54.91/15.68 oldX1 := x1; 54.91/15.68 oldX3 := oldX0 - oldX1; 54.91/15.68 oldX2 := nondet(); 54.91/15.68 assume(oldX3 > 0 && oldX3 + oldX1 > 0 && oldX2 > 0 && 1 + oldX1 + oldX2 > 1 && oldX1 > -1 && oldX0 = oldX3 + oldX1); 54.91/15.68 x0 := 10; 54.91/15.68 x1 := 1 + oldX1 + oldX2; 54.91/15.68 TO: 1; 54.91/15.68 54.91/15.68 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (11) T2 (EQUIVALENT) 54.91/15.68 No proof given by T2 54.91/15.68 ---------------------------------------- 54.91/15.68 54.91/15.68 (12) 54.91/15.68 YES 55.29/15.86 EOF