16.05/5.09 YES 16.05/5.10 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 16.05/5.10 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.05/5.10 16.05/5.10 16.05/5.10 Termination of the given C Problem could be proven: 16.05/5.10 16.05/5.10 (0) C Problem 16.05/5.10 (1) CToLLVMProof [EQUIVALENT, 161 ms] 16.05/5.10 (2) LLVM problem 16.05/5.10 (3) LLVMToTerminationGraphProof [EQUIVALENT, 877 ms] 16.05/5.10 (4) LLVM Symbolic Execution Graph 16.05/5.10 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 16.05/5.10 (6) LLVM Symbolic Execution Lasso 16.05/5.10 (7) Lasso2IRS [EQUIVALENT, 124 ms] 16.05/5.10 (8) IntTRS 16.05/5.10 (9) IRS2T2 [EQUIVALENT, 0 ms] 16.05/5.10 (10) T2IntSys 16.05/5.10 (11) T2 [EQUIVALENT, 1367 ms] 16.05/5.10 (12) YES 16.05/5.10 16.05/5.10 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (0) 16.05/5.10 Obligation: 16.05/5.10 c file /export/starexec/sandbox/benchmark/theBenchmark.c 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (1) CToLLVMProof (EQUIVALENT) 16.05/5.10 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (2) 16.05/5.10 Obligation: 16.05/5.10 LLVM Problem 16.05/5.10 16.05/5.10 Aliases: 16.05/5.10 16.05/5.10 Data layout: 16.05/5.10 16.05/5.10 "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" 16.05/5.10 16.05/5.10 Machine: 16.05/5.10 16.05/5.10 "x86_64-pc-linux-gnu" 16.05/5.10 16.05/5.10 Type definitions: 16.05/5.10 16.05/5.10 Global variables: 16.05/5.10 16.05/5.10 Function declarations and definitions: 16.05/5.10 16.05/5.10 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 16.05/5.10 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 16.05/5.10 0: 16.05/5.10 %1 = alloca i32, align 4 16.05/5.10 %x = alloca i32, align 4 16.05/5.10 %y = alloca i32, align 4 16.05/5.10 %z = alloca i32, align 4 16.05/5.10 store 0, %1 16.05/5.10 %2 = call i32 @__VERIFIER_nondet_int() 16.05/5.10 store %2, %x 16.05/5.10 %3 = call i32 @__VERIFIER_nondet_int() 16.05/5.10 store %3, %y 16.05/5.10 %4 = call i32 @__VERIFIER_nondet_int() 16.05/5.10 store %4, %z 16.05/5.10 %5 = load %y 16.05/5.10 %6 = mul 2 %5 16.05/5.10 %7 = load %z 16.05/5.10 %8 = icmp slt %6 %7 16.05/5.10 br %8, %9, %10 16.05/5.10 9: 16.05/5.10 store 0, %1 16.05/5.10 br %26 16.05/5.10 10: 16.05/5.10 br %11 16.05/5.10 11: 16.05/5.10 %12 = load %x 16.05/5.10 %13 = icmp sge %12 0 16.05/5.10 br %13, %14, %17 16.05/5.10 14: 16.05/5.10 %15 = load %z 16.05/5.10 %16 = icmp eq %15 1 16.05/5.10 br %17 16.05/5.10 17: 16.05/5.10 %18 = phi [0, %11], [%16, %14] 16.05/5.10 br %18, %19, %25 16.05/5.10 19: 16.05/5.10 %20 = load %x 16.05/5.10 %21 = load %y 16.05/5.10 %22 = mul 2 %21 16.05/5.10 %23 = sub %20 %22 16.05/5.10 %24 = add %23 1 16.05/5.10 store %24, %x 16.05/5.10 br %11 16.05/5.10 25: 16.05/5.10 store 0, %1 16.05/5.10 br %26 16.05/5.10 26: 16.05/5.10 %27 = load %1 16.05/5.10 ret %27 16.05/5.10 16.05/5.10 16.05/5.10 Analyze Termination of all function calls matching the pattern: 16.05/5.10 main() 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (3) LLVMToTerminationGraphProof (EQUIVALENT) 16.05/5.10 Constructed symbolic execution graph for LLVM program and proved memory safety. 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (4) 16.05/5.10 Obligation: 16.05/5.10 SE Graph 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 16.05/5.10 Converted SEGraph to 1 independent lasso. 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (6) 16.05/5.10 Obligation: 16.05/5.10 Lasso 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (7) Lasso2IRS (EQUIVALENT) 16.05/5.10 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 16.05/5.10 Generated rules. Obtained 51 rulesP rules: 16.05/5.10 f_195(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_196(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 <= v115 && 0 <= 1 + v114 && 1 <= v113 16.05/5.10 f_196(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_198(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_198(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_200(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: TRUE 16.05/5.10 f_200(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_202(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_202(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_204(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_204(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_206(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_206(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_208(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: TRUE 16.05/5.10 f_208(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) -> f_210(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_210(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v114, v116, v117, v118, v119, 3, 2, 4) -> f_211(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_211(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v114, v116, v117, v118, v119, 3, 2, 4) -> f_212(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v114, v116, v117, v118, v119, 3, 2, 4) :|: v111 = 2 * v109 16.05/5.10 f_212(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v114, v116, v117, v118, v119, 3, 2, 4) -> f_213(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v116, v117, v118, v119, 3, 2, 4) :|: v189 + v111 = v115 16.05/5.10 f_213(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v116, v117, v118, v119, 3, 2, 4) -> f_214(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) :|: v190 = 1 + v189 16.05/5.10 f_214(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) -> f_215(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) :|: TRUE 16.05/5.10 f_215(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) -> f_216(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) :|: TRUE 16.05/5.10 f_216(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) -> f_194(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v189, v190, v116, v117, v118, v119, 3, 2, 4) :|: TRUE 16.05/5.10 f_194(v104, v105, v106, v107, v108, v109, 1, v111, 0, v113, v114, v115, v116, v117, v118, v119, 3, 2, 4) -> f_195(v104, v105, v106, v107, v108, v109, 1, v111, 0, v115, v113, v114, v116, v117, v118, v119, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_117 -> f_118(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 16.05/5.10 f_118(v1, v2, 3, 1, 4) -> f_119(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 16.05/5.10 f_119(v1, v3, v2, v4, 3, 1, 4) -> f_120(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 16.05/5.10 f_120(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_121(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 16.05/5.10 f_121(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_122(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_122(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_123(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_123(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_124(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_124(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_125(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_125(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_126(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_126(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_127(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_127(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_128(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 16.05/5.10 f_128(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_129(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 16.05/5.10 f_129(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_130(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) :|: v15 = 2 * v11 16.05/5.10 f_130(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) -> f_131(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) :|: 0 = 0 16.05/5.10 f_131(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) -> f_133(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) :|: v13 <= v15 16.05/5.10 f_133(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) -> f_135(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) :|: 0 = 0 16.05/5.10 f_135(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) -> f_137(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) :|: TRUE 16.05/5.10 f_137(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) -> f_139(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) :|: TRUE 16.05/5.10 f_139(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) -> f_141(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) :|: 0 = 0 16.05/5.10 f_141(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) -> f_143(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) :|: 0 <= v9 16.05/5.10 f_143(v1, v3, v5, v7, v9, v11, v13, v15, 0, v2, v4, v6, v8, 3, 2, 1, 4) -> f_145(v1, v3, v5, v7, v9, v11, v13, v15, 0, 1, v2, v4, v6, v8, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_145(v1, v3, v5, v7, v9, v11, v13, v15, 0, 1, v2, v4, v6, v8, 3, 2, 4) -> f_147(v1, v3, v5, v7, v9, v11, v13, v15, 0, 1, v2, v4, v6, v8, 3, 2, 4) :|: TRUE 16.05/5.10 f_147(v1, v3, v5, v7, v9, v11, v13, v15, 0, 1, v2, v4, v6, v8, 3, 2, 4) -> f_149(v1, v3, v5, v7, v9, v11, v13, v15, 0, 1, v2, v4, v6, v8, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_149(v1, v3, v5, v7, v9, v11, v13, v15, 0, 1, v2, v4, v6, v8, 3, 2, 4) -> f_151(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: v13 = 1 && 2 <= v15 && 1 <= v11 16.05/5.10 f_151(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_154(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_154(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_157(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_157(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_160(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: TRUE 16.05/5.10 f_160(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_162(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_162(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_164(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: 0 = 0 16.05/5.10 f_164(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_166(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) :|: v15 = 2 * v11 16.05/5.10 f_166(v1, v3, v5, v7, v9, v11, 1, v15, 0, v2, v4, v6, v8, 3, 2, 4) -> f_168(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v2, v4, v6, v8, 3, 2, 4) :|: v25 + v15 = v9 16.05/5.10 f_168(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v2, v4, v6, v8, 3, 2, 4) -> f_169(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v26, v2, v4, v6, v8, 3, 2, 4) :|: v26 = 1 + v25 16.05/5.10 f_169(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v26, v2, v4, v6, v8, 3, 2, 4) -> f_170(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v26, v2, v4, v6, v8, 3, 2, 4) :|: TRUE 16.05/5.10 f_170(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v26, v2, v4, v6, v8, 3, 2, 4) -> f_171(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v26, v2, v4, v6, v8, 3, 2, 4) :|: TRUE 16.05/5.10 f_171(v1, v3, v5, v7, v9, v11, 1, v15, 0, v25, v26, v2, v4, v6, v8, 3, 2, 4) -> f_194(v1, v3, v5, v7, v9, v11, 1, v15, 0, v9, v25, v26, v2, v4, v6, v8, 3, 2, 4) :|: TRUE 16.05/5.10 Combined rules. Obtained 2 rulesP rules: 16.05/5.10 f_117 -> f_195(v1:0, v3:0, v5:0, v7:0, v25:0 + 2 * v11:0, v11:0, 1, 2 * v11:0, 0, 1 + v25:0, v25:0 + 2 * v11:0, v25:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3 + v7:0, 3, 2, 4) :|: 2 * v11:0 > 1 && v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v11:0 > 0 && v25:0 + 2 * v11:0 > -1 16.05/5.10 f_195(v104:0, v105:0, v106:0, v107:0, v108:0, v109:0, 1, 2 * v109:0, 0, v189:0 + 2 * v109:0, v113:0, v114:0, v116:0, v117:0, v118:0, v119:0, 3, 2, 4) -> f_195(v104:0, v105:0, v106:0, v107:0, v108:0, v109:0, 1, 2 * v109:0, 0, 1 + v189:0, v189:0 + 2 * v109:0, v189:0, v116:0, v117:0, v118:0, v119:0, 3, 2, 4) :|: v114:0 > -2 && v113:0 > 0 && v189:0 + 2 * v109:0 > -1 16.05/5.10 Filtered unneeded arguments: 16.05/5.10 f_195(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_195(x6, x8, x10, x11, x12) 16.05/5.10 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 16.05/5.10 f_117 -> f_195(v11:0, 2 * v11:0, 1 + v25:0, v25:0 + 2 * v11:0, v25:0) :|: v11:0 > 0 && v25:0 + 2 * v11:0 > -1 && 2 * v11:0 > 1 16.05/5.10 f_195(v109:0, times~cons_2~v109:0, sum~v189:0~times~cons_2~v109:0, v113:0, v114:0) -> f_195(v109:0, 2 * v109:0, 1 + v189:0, v189:0 + 2 * v109:0, v189:0) :|: v113:0 > 0 && v189:0 + 2 * v109:0 > -1 && v114:0 > -2 && times~cons_2~v109:0 = 2 * v109:0 && sum~v189:0~times~cons_2~v109:0 = v189:0 + 2 * v109:0 16.05/5.10 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (8) 16.05/5.10 Obligation: 16.05/5.10 Rules: 16.05/5.10 f_117 -> f_195(v11:0, 2 * v11:0, 1 + v25:0, v25:0 + 2 * v11:0, v25:0) :|: v11:0 > 0 && v25:0 + 2 * v11:0 > -1 && 2 * v11:0 > 1 16.05/5.10 f_195(v109:0, times~cons_2~v109:0, sum~v189:0~times~cons_2~v109:0, v113:0, v114:0) -> f_195(v109:0, 2 * v109:0, 1 + v189:0, v189:0 + 2 * v109:0, v189:0) :|: v113:0 > 0 && v189:0 + 2 * v109:0 > -1 && v114:0 > -2 && times~cons_2~v109:0 = 2 * v109:0 && sum~v189:0~times~cons_2~v109:0 = v189:0 + 2 * v109:0 16.05/5.10 Start term: f_117 16.05/5.10 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (9) IRS2T2 (EQUIVALENT) 16.05/5.10 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 16.05/5.10 16.05/5.10 (f_117_5,1) 16.05/5.10 (f_195_5,2) 16.05/5.10 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (10) 16.05/5.10 Obligation: 16.05/5.10 START: 1; 16.05/5.10 16.05/5.10 FROM: 1; 16.05/5.10 oldX0 := x0; 16.05/5.10 oldX1 := x1; 16.05/5.10 oldX2 := x2; 16.05/5.10 oldX3 := x3; 16.05/5.10 oldX4 := x4; 16.05/5.10 oldX5 := nondet(); 16.05/5.10 oldX6 := nondet(); 16.05/5.10 assume(oldX5 > 0 && oldX6 + 2 * oldX5 > -1 && 2 * oldX5 > 1); 16.05/5.10 x0 := oldX5; 16.05/5.10 x1 := 2 * oldX5; 16.05/5.10 x2 := 1 + oldX6; 16.05/5.10 x3 := oldX6 + 2 * oldX5; 16.05/5.10 x4 := oldX6; 16.05/5.10 TO: 2; 16.05/5.10 16.05/5.10 FROM: 2; 16.05/5.10 oldX0 := x0; 16.05/5.10 oldX1 := x1; 16.05/5.10 oldX2 := x2; 16.05/5.10 oldX3 := x3; 16.05/5.10 oldX4 := x4; 16.05/5.10 oldX5 := nondet(); 16.05/5.10 assume(oldX3 > 0 && oldX5 + 2 * oldX0 > -1 && oldX4 > -2 && oldX1 = 2 * oldX0 && oldX2 = oldX5 + 2 * oldX0); 16.05/5.10 x0 := oldX0; 16.05/5.10 x1 := 2 * oldX0; 16.05/5.10 x2 := 1 + oldX5; 16.05/5.10 x3 := oldX5 + 2 * oldX0; 16.05/5.10 x4 := oldX5; 16.05/5.10 TO: 2; 16.05/5.10 16.05/5.10 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (11) T2 (EQUIVALENT) 16.05/5.10 Used the following cutpoint-specific lexicographic rank functions: 16.05/5.10 * For cutpoint 5, used the following rank functions/bounds (in descending priority order): 16.05/5.10 - RF x2, bound 0 16.05/5.10 16.05/5.10 ---------------------------------------- 16.05/5.10 16.05/5.10 (12) 16.05/5.10 YES 16.05/5.14 EOF