/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.c # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 177 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 9076 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] (6) LLVM Symbolic Execution Lasso (7) Lasso2IRS [SOUND, 316 ms] (8) IntTRS (9) IRS2T2 [EQUIVALENT, 0 ms] (10) T2IntSys (11) T2 [EQUIVALENT, 1212 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. ---------------------------------------- (2) Obligation: LLVM Problem Aliases: Data layout: "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" Machine: "x86_64-pc-linux-gnu" Type definitions: Global variables: Function declarations and definitions: *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "a" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (m i32, n i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %2 = alloca i32, align 4 %3 = alloca i32, align 4 store %m, %2 store %n, %3 %4 = load %2 %5 = icmp sle %4 0 br %5, %6, %9 6: %7 = load %3 %8 = add %7 1 store %8, %1 br %24 9: %10 = load %3 %11 = icmp sle %10 0 br %11, %12, %16 12: %13 = load %2 %14 = sub %13 1 %15 = call i32 @a(i32 %14, i32 1) store %15, %1 br %24 16: %17 = load %2 %18 = sub %17 1 %19 = load %2 %20 = load %3 %21 = sub %20 1 %22 = call i32 @a(i32 %19, i32 %21) %23 = call i32 @a(i32 %18, i32 %22) store %23, %1 br %24 24: %25 = load %1 ret %25 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %m = alloca i32, align 4 %n = alloca i32, align 4 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() store %2, %m %3 = call i32 @__VERIFIER_nondet_int() store %3, %n %4 = load %m %5 = icmp sge %4 0 br %5, %6, %13 6: %7 = load %n %8 = icmp sge %7 0 br %8, %9, %13 9: %10 = load %m %11 = load %n %12 = call i32 @a(i32 %10, i32 %11) br %13 13: ret 0 Analyze Termination of all function calls matching the pattern: main() ---------------------------------------- (3) LLVMToTerminationGraphProof (EQUIVALENT) Constructed symbolic execution graph for LLVM program and proved memory safety. ---------------------------------------- (4) Obligation: SE Graph ---------------------------------------- (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) Converted SEGraph to 1 independent lasso. ---------------------------------------- (6) Obligation: Lasso ---------------------------------------- (7) Lasso2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 108 rulesP rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 f_154 -> f_155(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 f_155(v1, v2, 3, 1, 4) -> f_156(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 f_156(v1, v3, v2, v4, 3, 1, 4) -> f_157(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 f_157(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_158(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_158(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_159(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_159(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_160(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_160(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_161(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_161(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_162(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_162(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_163(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0 f_163(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_164(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 <= v7 f_164(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_166(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_166(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_168(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: TRUE f_168(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_170(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_170(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_171(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 <= v9 f_171(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_173(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_173(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_175(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: TRUE f_175(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_177(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_177(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_178(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_178(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_179(v7, v9, v1, v2, v3, v4, v5, v6, 0, 1, 3, 4) :|: 0 = 0 f_179(v7, v9, v1, v2, v3, v4, v5, v6, 0, 1, 3, 4) -> f_180(v7, v9, v1, v2, v3, v4, v5, v6, 0, 3, 1, 4) :|: TRUE f_180(v7, v9, v1, v2, v3, v4, v5, v6, 0, 3, 1, 4) -> f_216(v7, v9, v1, v2, v3, v4, v5, v6, 0, v7, v9, 3, 1, 4) :|: TRUE f_216(v41, v42, v43, v44, v45, v46, v47, v48, 0, v50, v51, 3, 1, 4) -> f_253(v41, v42, v43, v44, v45, v46, v47, v48, 0, v50, v51, 3, 1, 4) :|: TRUE Combined rules. Obtained 4 rulesP rules: 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 f_154 -> f_255(v7:0, v9:0, v97:0, v1:0, 3 + v1:0, v3:0, 3 + v3:0, v5:0, 3 + v5:0, 3 + v97:0, 0, v7:0, v9:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > -1 && v9:0 > -1 && v97:0 > 0 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 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 Filtered unneeded arguments: f_255(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_255(x1, x2, x12) Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules: 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 f_154 -> f_255(v7:0, v9:0, v7:0) :|: v7:0 > -1 && v9:0 > -1 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 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 ---------------------------------------- (8) Obligation: Rules: 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 f_154 -> f_255(v7:0, v9:0, v7:0) :|: v7:0 > -1 && v9:0 > -1 f_255(x, x1, x2) -> f_255(x3, 1, x2) :|: x3 > -1 && x1 < 1 && x2 > 0 && x = 1 + x3 f_255(x4, x5, x6) -> f_255(1 + x7, x8, x6) :|: x7 > -1 && x8 > -1 && x6 > 0 && x4 = 1 + x7 && x5 = 1 + x8 Start term: f_154 ---------------------------------------- (9) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_255_3,1) (f_154_3,2) ---------------------------------------- (10) Obligation: START: 2; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := oldX0 - 1; oldX5 := oldX1 - 1; oldX4 := nondet(); assume(oldX3 > -1 && oldX5 > -1 && oldX2 > 0 && oldX0 = 1 + oldX3 && oldX1 = 1 + oldX5); x0 := oldX0 - 1; x1 := oldX4; x2 := oldX2; TO: 1; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); oldX4 := nondet(); assume(oldX3 > -1 && oldX4 > -1); x0 := oldX3; x1 := oldX4; x2 := oldX3; TO: 1; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := oldX0 - 1; assume(oldX3 > -1 && oldX1 < 1 && oldX2 > 0 && oldX0 = 1 + oldX3); x0 := oldX0 - 1; x1 := 1; x2 := oldX2; TO: 1; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := oldX0 - 1; oldX4 := oldX1 - 1; assume(oldX3 > -1 && oldX4 > -1 && oldX2 > 0 && oldX0 = 1 + oldX3 && oldX1 = 1 + oldX4); x0 := 1 + oldX3; x1 := oldX1 - 1; x2 := oldX2; TO: 1; ---------------------------------------- (11) T2 (EQUIVALENT) Initially, performed program simplifications using lexicographic rank functions: * Removed transitions 1, 4, 5, 6 using the following rank functions: - Rank function 1: RF for loc. 5: x0 RF for loc. 6: x0 Bound for (chained) transitions 4: 1 Bound for (chained) transitions 5: 1 - Rank function 2: RF for loc. 5: 2*x1 RF for loc. 6: -1+2*x1 Bound for (chained) transitions 6: 1 - Rank function 3: RF for loc. 5: 0 RF for loc. 6: -1 Bound for (chained) transitions 1: 0 ---------------------------------------- (12) YES