41.53/15.03 YES 41.53/15.04 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 41.53/15.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 41.53/15.04 41.53/15.04 41.53/15.04 Termination of the given C Problem could be proven: 41.53/15.04 41.53/15.04 (0) C Problem 41.53/15.04 (1) CToLLVMProof [EQUIVALENT, 174 ms] 41.53/15.04 (2) LLVM problem 41.53/15.04 (3) LLVMToTerminationGraphProof [EQUIVALENT, 9540 ms] 41.53/15.04 (4) LLVM Symbolic Execution Graph 41.53/15.04 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 41.53/15.04 (6) LLVM Symbolic Execution SCC 41.53/15.04 (7) SCC2IRS [SOUND, 272 ms] 41.53/15.04 (8) IntTRS 41.53/15.04 (9) IRS2T2 [EQUIVALENT, 0 ms] 41.53/15.04 (10) T2IntSys 41.53/15.04 (11) T2 [EQUIVALENT, 1105 ms] 41.53/15.04 (12) YES 41.53/15.04 41.53/15.04 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (0) 41.53/15.04 Obligation: 41.53/15.04 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (1) CToLLVMProof (EQUIVALENT) 41.53/15.04 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (2) 41.53/15.04 Obligation: 41.53/15.04 LLVM Problem 41.53/15.04 41.53/15.04 Aliases: 41.53/15.04 41.53/15.04 Data layout: 41.53/15.04 41.53/15.04 "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" 41.53/15.04 41.53/15.04 Machine: 41.53/15.04 41.53/15.04 "x86_64-pc-linux-gnu" 41.53/15.04 41.53/15.04 Type definitions: 41.53/15.04 41.53/15.04 Global variables: 41.53/15.04 41.53/15.04 Function declarations and definitions: 41.53/15.04 41.53/15.04 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 41.53/15.04 *BasicFunctionTypename: "a" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (m i32, n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 41.53/15.04 0: 41.53/15.04 %1 = alloca i32, align 4 41.53/15.04 %2 = alloca i32, align 4 41.53/15.04 %3 = alloca i32, align 4 41.53/15.04 store %m, %2 41.53/15.04 store %n, %3 41.53/15.04 %4 = load %2 41.53/15.04 %5 = icmp sle %4 0 41.53/15.04 br %5, %6, %9 41.53/15.04 6: 41.53/15.04 %7 = load %3 41.53/15.04 %8 = add %7 1 41.53/15.04 store %8, %1 41.53/15.04 br %24 41.53/15.04 9: 41.53/15.04 %10 = load %3 41.53/15.04 %11 = icmp sle %10 0 41.53/15.04 br %11, %12, %16 41.53/15.04 12: 41.53/15.04 %13 = load %2 41.53/15.04 %14 = sub %13 1 41.53/15.04 %15 = call i32 @a(i32 %14, i32 1) 41.53/15.04 store %15, %1 41.53/15.04 br %24 41.53/15.04 16: 41.53/15.04 %17 = load %2 41.53/15.04 %18 = sub %17 1 41.53/15.04 %19 = load %2 41.53/15.04 %20 = load %3 41.53/15.04 %21 = sub %20 1 41.53/15.04 %22 = call i32 @a(i32 %19, i32 %21) 41.53/15.04 %23 = call i32 @a(i32 %18, i32 %22) 41.53/15.04 store %23, %1 41.53/15.04 br %24 41.53/15.04 24: 41.53/15.04 %25 = load %1 41.53/15.04 ret %25 41.53/15.04 41.53/15.04 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 41.53/15.04 0: 41.53/15.04 %1 = alloca i32, align 4 41.53/15.04 %m = alloca i32, align 4 41.53/15.04 %n = alloca i32, align 4 41.53/15.04 store 0, %1 41.53/15.04 %2 = call i32 @__VERIFIER_nondet_int() 41.53/15.04 store %2, %m 41.53/15.04 %3 = call i32 @__VERIFIER_nondet_int() 41.53/15.04 store %3, %n 41.53/15.04 %4 = load %m 41.53/15.04 %5 = icmp sge %4 0 41.53/15.04 br %5, %6, %13 41.53/15.04 6: 41.53/15.04 %7 = load %n 41.53/15.04 %8 = icmp sge %7 0 41.53/15.04 br %8, %9, %13 41.53/15.04 9: 41.53/15.04 %10 = load %m 41.53/15.04 %11 = load %n 41.53/15.04 %12 = call i32 @a(i32 %10, i32 %11) 41.53/15.04 br %13 41.53/15.04 13: 41.53/15.04 ret 0 41.53/15.04 41.53/15.04 41.53/15.04 Analyze Termination of all function calls matching the pattern: 41.53/15.04 main() 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (3) LLVMToTerminationGraphProof (EQUIVALENT) 41.53/15.04 Constructed symbolic execution graph for LLVM program and proved memory safety. 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (4) 41.53/15.04 Obligation: 41.53/15.04 SE Graph 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (5) SymbolicExecutionGraphToSCCProof (SOUND) 41.53/15.04 Splitted symbolic execution graph to 1 SCC. 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (6) 41.53/15.04 Obligation: 41.53/15.04 SCC 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (7) SCC2IRS (SOUND) 41.53/15.04 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 41.53/15.04 Generated rules. Obtained 86 rulesP rules: 41.53/15.04 f_255(v85, v86, v97, v87, v88, v89, v90, v91, v92, v98, 0, v94, v95, 3, 1, 4) -> f_256(v85, v86, v97, v99, v87, v88, v89, v90, v91, v92, v98, v100, 0, v94, v95, 3, 1, 4) :|: 1 <= v99 && v100 = 3 + v99 && 4 <= v100 41.53/15.04 f_256(v85, v86, v97, v99, v87, v88, v89, v90, v91, v92, v98, v100, 0, v94, v95, 3, 1, 4) -> f_257(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) :|: 1 <= v101 && v102 = 3 + v101 && 4 <= v102 41.53/15.04 f_257(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) -> f_258(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_258(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) -> f_259(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_259(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) -> f_260(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_260(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) -> f_262(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) :|: 0 < v85 && 1 <= v94 41.53/15.04 f_262(v85, v86, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, 0, v94, v95, 3, 1, 4) -> f_264(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_264(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_266(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_266(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_268(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_268(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_270(v85, 0, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: v86 <= 0 41.53/15.04 f_268(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_271(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 < v86 41.53/15.04 f_270(v85, 0, v97, v99, v101, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_273(v85, 0, v97, v99, v101, 1, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) :|: 0 = 0 41.53/15.04 f_273(v85, 0, v97, v99, v101, 1, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) -> f_276(v85, 0, v97, v99, v101, 1, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) :|: TRUE 41.53/15.04 f_276(v85, 0, v97, v99, v101, 1, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) -> f_279(v85, 0, v97, v99, v101, 1, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) :|: 0 = 0 41.53/15.04 f_279(v85, 0, v97, v99, v101, 1, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) -> f_282(v85, 0, v97, v99, v101, 1, v123, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) :|: 1 + v123 = v85 && 0 <= v123 41.53/15.04 f_282(v85, 0, v97, v99, v101, 1, v123, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4) -> f_285(v123, 1, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 3, 4) :|: 0 = 0 41.53/15.04 f_285(v123, 1, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 3, 4) -> f_288(v123, 1, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 3, 4) :|: TRUE 41.53/15.04 f_288(v123, 1, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 3, 4) -> f_253(v123, 1, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_253(v85, v86, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) -> f_255(v85, v86, v97, v87, v88, v89, v90, v91, v92, v98, 0, v94, v95, 3, 1, 4) :|: 1 <= v97 && v98 = 3 + v97 && 4 <= v98 41.53/15.04 f_271(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_274(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_274(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_277(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_277(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_280(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_280(v85, v86, v97, v99, v101, 0, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_283(v85, v86, v97, v99, v101, 0, v124, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 1 + v124 = v85 && 0 <= v124 41.53/15.04 f_283(v85, v86, v97, v99, v101, 0, v124, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_286(v85, v86, v97, v99, v101, 0, v124, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_286(v85, v86, v97, v99, v101, 0, v124, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_289(v85, v86, v97, v99, v101, 0, v124, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_289(v85, v86, v97, v99, v101, 0, v124, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_290(v85, v86, v97, v99, v101, 0, v124, v140, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 1 + v140 = v86 && 0 <= v140 41.53/15.04 f_290(v85, v86, v97, v99, v101, 0, v124, v140, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_294(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, 3, 1, 4) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_412(v85, 0, v952, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_450(v85, 0, v1194, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_487(v85, 0, v1464, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_535(v85, 0, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_590(v85, 0, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_600(v85, v140, v2145, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_642(v85, 0, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_691(v85, 0, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_699(v85, v140, v2810, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_743(v85, 0, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_752(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_789(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_812(v85, 0, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_822(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_292(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_850(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_294(v85, v140, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, 3, 1, 4) -> f_253(v85, v140, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_412(v85, 0, v952, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_417(v85, 1, v97, v99, v101, 0, v124, v952, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_417(v85, 1, v97, v99, v101, 0, v124, v952, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) -> f_419(v124, v952, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_419(v124, v952, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_420(v124, v952, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: TRUE 41.53/15.04 f_420(v124, v952, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_253(v124, v952, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_450(v85, 0, v1194, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_459(v85, 1, v97, v99, v101, 0, v124, v1194, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_459(v85, 1, v97, v99, v101, 0, v124, v1194, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) -> f_465(v124, v1194, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_465(v124, v1194, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_470(v124, v1194, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: TRUE 41.53/15.04 f_470(v124, v1194, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_253(v124, v1194, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_487(v85, 0, v1464, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_499(v85, 1, v97, v99, v101, 0, v124, v1464, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_499(v85, 1, v97, v99, v101, 0, v124, v1464, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) -> f_507(v124, v1464, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_507(v124, v1464, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_518(v124, v1464, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: TRUE 41.53/15.04 f_518(v124, v1464, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_253(v124, v1464, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_535(v85, 0, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_551(v85, 1, v97, v99, v101, 0, v124, v1747, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_551(v85, 1, v97, v99, v101, 0, v124, v1747, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) -> f_563(v124, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_563(v124, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_579(v124, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: TRUE 41.53/15.04 f_579(v124, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_253(v124, v1747, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_590(v85, 0, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_535(v85, 0, v1747, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_600(v85, v140, v2145, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_608(v85, v86, v97, v99, v101, 0, v124, v140, v2145, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_608(v85, v86, v97, v99, v101, 0, v124, v140, v2145, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_616(v124, v2145, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, v140, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_616(v124, v2145, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, v140, 3, 1, 4) -> f_623(v124, v2145, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, 3, 1, 4) :|: TRUE 41.53/15.04 f_623(v124, v2145, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, 3, 1, 4) -> f_253(v124, v2145, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_642(v85, 0, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_658(v85, 1, v97, v99, v101, 0, v124, v2392, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_658(v85, 1, v97, v99, v101, 0, v124, v2392, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) -> f_670(v124, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_670(v124, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_680(v124, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: TRUE 41.53/15.04 f_680(v124, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_253(v124, v2392, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_691(v85, 0, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_642(v85, 0, v2392, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_699(v85, v140, v2810, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_714(v85, v86, v97, v99, v101, 0, v124, v140, v2810, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_714(v85, v86, v97, v99, v101, 0, v124, v140, v2810, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_724(v124, v2810, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, v140, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_724(v124, v2810, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, v140, 3, 1, 4) -> f_733(v124, v2810, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, 3, 1, 4) :|: TRUE 41.53/15.04 f_733(v124, v2810, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, 3, 1, 4) -> f_253(v124, v2810, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_743(v85, 0, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_761(v85, 1, v97, v99, v101, 0, v124, v3149, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_761(v85, 1, v97, v99, v101, 0, v124, v3149, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 4, 2) -> f_775(v124, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: 0 = 0 41.53/15.04 f_775(v124, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_797(v124, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) :|: TRUE 41.53/15.04 f_797(v124, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, 1, 3, 4, 2) -> f_253(v124, v3149, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_752(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_767(v85, v86, v97, v99, v101, 0, v124, v140, v3250, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_767(v85, v86, v97, v99, v101, 0, v124, v140, v3250, v87, v88, v89, v90, v91, v92, v98, v100, v102, v94, v95, 3, 1, 4) -> f_780(v124, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, v140, 3, 1, 4) :|: 0 = 0 41.53/15.04 f_780(v124, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, v140, 3, 1, 4) -> f_801(v124, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, 3, 1, 4) :|: TRUE 41.53/15.04 f_801(v124, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v85, v86, 3, 1, 4) -> f_253(v124, v3250, v87, v88, v89, v90, v91, v92, 0, v94, v95, 3, 1, 4) :|: TRUE 41.53/15.04 f_789(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_752(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_812(v85, 0, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) -> f_743(v85, 0, v3149, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, v94, v95, 1, v124, 3, 4, 2) :|: TRUE 41.53/15.04 f_822(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_789(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 f_850(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) -> f_822(v85, v140, v3250, v87, v88, v89, v90, v91, v92, v97, v98, v99, v100, v101, v102, 0, v94, v95, v86, v124, 3, 1, 4) :|: TRUE 41.53/15.04 Combined rules. Obtained 3 rulesP rules: 41.53/15.04 f_255(1 + v124:0, 1 + v140:0, v97:0, v87:0, v88:0, v89:0, v90:0, v91:0, v92:0, v98:0, 0, v94:0, v95:0, 3, 1, 4) -> f_255(v124:0, v3250:0, v97:1, v87:0, v88:0, v89:0, v90:0, v91:0, v92:0, 3 + v97:1, 0, v94:0, v95:0, 3, 1, 4) :|: v101:0 > 0 && v99:0 > 0 && v94:0 > 0 && v124:0 > -1 && v140:0 > -1 && v97:1 > 0 41.53/15.04 f_255(1 + v123:0, v86:0, v97:0, v87:0, v88:0, v89:0, v90:0, v91:0, v92:0, v98:0, 0, v94:0, v95:0, 3, 1, 4) -> f_255(v123:0, 1, v97:1, v87:0, v88:0, v89:0, v90:0, v91:0, v92:0, 3 + v97:1, 0, v94:0, v95:0, 3, 1, 4) :|: v101:0 > 0 && v99:0 > 0 && v94:0 > 0 && v123:0 > -1 && v86:0 < 1 && v97:1 > 0 41.53/15.04 f_255(1 + v124:0, 1 + v140:0, v97:0, v87:0, v88:0, v89:0, v90:0, v91:0, v92:0, v98:0, 0, v94:0, v95:0, 3, 1, 4) -> f_255(1 + v124:0, v140:0, v97:1, v87:0, v88:0, v89:0, v90:0, v91:0, v92:0, 3 + v97:1, 0, v94:0, v95:0, 3, 1, 4) :|: v101:0 > 0 && v99:0 > 0 && v94:0 > 0 && v124:0 > -1 && v140:0 > -1 && v97:1 > 0 41.53/15.04 Filtered unneeded arguments: 41.53/15.04 f_255(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_255(x1, x2, x12) 41.53/15.04 Removed division, modulo operations, cleaned up constraints. Obtained 3 rules.P rules: 41.53/15.04 f_255(sum~cons_1~v124:0, sum~cons_1~v140:0, v94:0) -> f_255(v124:0, v3250:0, v94:0) :|: v124:0 > -1 && v140:0 > -1 && v94:0 > 0 && sum~cons_1~v124:0 = 1 + v124:0 && sum~cons_1~v140:0 = 1 + v140:0 41.53/15.04 f_255(sum~cons_1~v123:0, v86:0, v94:0) -> f_255(v123:0, 1, v94:0) :|: v123:0 > -1 && v86:0 < 1 && v94:0 > 0 && sum~cons_1~v123:0 = 1 + v123:0 41.53/15.04 f_255(sum~cons_1~v124:0, sum~cons_1~v140:0, v94:0) -> f_255(1 + v124:0, v140:0, v94:0) :|: v124:0 > -1 && v140:0 > -1 && v94:0 > 0 && sum~cons_1~v124:0 = 1 + v124:0 && sum~cons_1~v140:0 = 1 + v140:0 41.53/15.04 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (8) 41.53/15.04 Obligation: 41.53/15.04 Rules: 41.53/15.04 f_255(sum~cons_1~v124:0, sum~cons_1~v140:0, v94:0) -> f_255(v124:0, v3250:0, v94:0) :|: v124:0 > -1 && v140:0 > -1 && v94:0 > 0 && sum~cons_1~v124:0 = 1 + v124:0 && sum~cons_1~v140:0 = 1 + v140:0 41.53/15.04 f_255(x, x1, x2) -> f_255(x3, 1, x2) :|: x3 > -1 && x1 < 1 && x2 > 0 && x = 1 + x3 41.53/15.04 f_255(x4, x5, x6) -> f_255(1 + x7, x8, x6) :|: x7 > -1 && x8 > -1 && x6 > 0 && x4 = 1 + x7 && x5 = 1 + x8 41.53/15.04 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (9) IRS2T2 (EQUIVALENT) 41.53/15.04 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 41.53/15.04 41.53/15.04 (f_255_3,1) 41.53/15.04 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (10) 41.53/15.04 Obligation: 41.53/15.04 START: 0; 41.53/15.04 41.53/15.04 FROM: 0; 41.53/15.04 TO: 1; 41.53/15.04 41.53/15.04 FROM: 1; 41.53/15.04 oldX0 := x0; 41.53/15.04 oldX1 := x1; 41.53/15.04 oldX2 := x2; 41.53/15.04 oldX3 := oldX0 - 1; 41.53/15.04 oldX5 := oldX1 - 1; 41.53/15.04 oldX4 := nondet(); 41.53/15.04 assume(oldX3 > -1 && oldX5 > -1 && oldX2 > 0 && oldX0 = 1 + oldX3 && oldX1 = 1 + oldX5); 41.53/15.04 x0 := oldX0 - 1; 41.53/15.04 x1 := oldX4; 41.53/15.04 x2 := oldX2; 41.53/15.04 TO: 1; 41.53/15.04 41.53/15.04 FROM: 1; 41.53/15.04 oldX0 := x0; 41.53/15.04 oldX1 := x1; 41.53/15.04 oldX2 := x2; 41.53/15.04 oldX3 := oldX0 - 1; 41.53/15.04 assume(oldX3 > -1 && oldX1 < 1 && oldX2 > 0 && oldX0 = 1 + oldX3); 41.53/15.04 x0 := oldX0 - 1; 41.53/15.04 x1 := 1; 41.53/15.04 x2 := oldX2; 41.53/15.04 TO: 1; 41.53/15.04 41.53/15.04 FROM: 1; 41.53/15.04 oldX0 := x0; 41.53/15.04 oldX1 := x1; 41.53/15.04 oldX2 := x2; 41.53/15.04 oldX3 := oldX0 - 1; 41.53/15.04 oldX4 := oldX1 - 1; 41.53/15.04 assume(oldX3 > -1 && oldX4 > -1 && oldX2 > 0 && oldX0 = 1 + oldX3 && oldX1 = 1 + oldX4); 41.53/15.04 x0 := 1 + oldX3; 41.53/15.04 x1 := oldX1 - 1; 41.53/15.04 x2 := oldX2; 41.53/15.04 TO: 1; 41.53/15.04 41.53/15.04 41.53/15.04 ---------------------------------------- 41.53/15.04 41.53/15.04 (11) T2 (EQUIVALENT) 41.53/15.04 Initially, performed program simplifications using lexicographic rank functions: 41.53/15.04 * Removed transitions 1, 4, 5, 6 using the following rank functions: 41.53/15.04 - Rank function 1: 41.53/15.04 RF for loc. 5: x0 41.53/15.04 RF for loc. 6: x0 41.53/15.04 Bound for (chained) transitions 4: 1 41.53/15.04 Bound for (chained) transitions 5: 1 41.53/15.04 - Rank function 2: 41.53/15.04 RF for loc. 5: 1+2*x1 41.53/15.04 RF for loc. 6: 2*x1 41.53/15.04 Bound for (chained) transitions 6: 2 41.53/15.05 - Rank function 3: 41.53/15.05 RF for loc. 5: 0 41.53/15.05 RF for loc. 6: -1 41.53/15.05 Bound for (chained) transitions 1: 0 41.53/15.05 41.53/15.05 ---------------------------------------- 41.53/15.05 41.53/15.05 (12) 41.53/15.05 YES 41.64/15.08 EOF