21.77/6.40 YES 21.77/6.41 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 21.77/6.41 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.77/6.41 21.77/6.41 21.77/6.41 Termination of the given C Problem could be proven: 21.77/6.41 21.77/6.41 (0) C Problem 21.77/6.41 (1) CToLLVMProof [EQUIVALENT, 148 ms] 21.77/6.41 (2) LLVM problem 21.77/6.41 (3) LLVMToTerminationGraphProof [EQUIVALENT, 816 ms] 21.77/6.41 (4) LLVM Symbolic Execution Graph 21.77/6.41 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 21.77/6.41 (6) LLVM Symbolic Execution Lasso 21.77/6.41 (7) Lasso2IRS [EQUIVALENT, 22 ms] 21.77/6.41 (8) IntTRS 21.77/6.41 (9) IRS2T2 [EQUIVALENT, 0 ms] 21.77/6.41 (10) T2IntSys 21.77/6.41 (11) T2 [EQUIVALENT, 1463 ms] 21.77/6.41 (12) YES 21.77/6.41 21.77/6.41 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (0) 21.77/6.41 Obligation: 21.77/6.41 c file /export/starexec/sandbox/benchmark/theBenchmark.c 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (1) CToLLVMProof (EQUIVALENT) 21.77/6.41 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (2) 21.77/6.41 Obligation: 21.77/6.41 LLVM Problem 21.77/6.41 21.77/6.41 Aliases: 21.77/6.41 21.77/6.41 Data layout: 21.77/6.41 21.77/6.41 "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" 21.77/6.41 21.77/6.41 Machine: 21.77/6.41 21.77/6.41 "x86_64-pc-linux-gnu" 21.77/6.41 21.77/6.41 Type definitions: 21.77/6.41 21.77/6.41 Global variables: 21.77/6.41 21.77/6.41 Function declarations and definitions: 21.77/6.41 21.77/6.41 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 21.77/6.41 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 21.77/6.41 0: 21.77/6.41 %1 = alloca i32, align 4 21.77/6.41 %x = alloca i32, align 4 21.77/6.41 %y = alloca i32, align 4 21.77/6.41 %z = alloca i32, align 4 21.77/6.41 store 0, %1 21.77/6.41 %2 = call i32 @__VERIFIER_nondet_int() 21.77/6.41 store %2, %x 21.77/6.41 %3 = call i32 @__VERIFIER_nondet_int() 21.77/6.41 store %3, %y 21.77/6.41 %4 = call i32 @__VERIFIER_nondet_int() 21.77/6.41 store %4, %z 21.77/6.41 %5 = load %y 21.77/6.41 %6 = mul 2 %5 21.77/6.41 %7 = load %z 21.77/6.41 %8 = icmp sge %6 %7 21.77/6.41 br %8, %9, %25 21.77/6.41 9: 21.77/6.41 br %10 21.77/6.41 10: 21.77/6.41 %11 = load %x 21.77/6.41 %12 = icmp sge %11 0 21.77/6.41 br %12, %13, %16 21.77/6.41 13: 21.77/6.41 %14 = load %z 21.77/6.41 %15 = icmp eq %14 1 21.77/6.41 br %16 21.77/6.41 16: 21.77/6.41 %17 = phi [0, %10], [%15, %13] 21.77/6.41 br %17, %18, %24 21.77/6.41 18: 21.77/6.41 %19 = load %x 21.77/6.41 %20 = load %y 21.77/6.41 %21 = mul 2 %20 21.77/6.41 %22 = sub %19 %21 21.77/6.41 %23 = add %22 1 21.77/6.41 store %23, %x 21.77/6.41 br %10 21.77/6.41 24: 21.77/6.41 br %25 21.77/6.41 25: 21.77/6.41 ret 0 21.77/6.41 21.77/6.41 21.77/6.41 Analyze Termination of all function calls matching the pattern: 21.77/6.41 main() 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (3) LLVMToTerminationGraphProof (EQUIVALENT) 21.77/6.41 Constructed symbolic execution graph for LLVM program and proved memory safety. 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (4) 21.77/6.41 Obligation: 21.77/6.41 SE Graph 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 21.77/6.41 Converted SEGraph to 1 independent lasso. 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (6) 21.77/6.41 Obligation: 21.77/6.41 Lasso 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (7) Lasso2IRS (EQUIVALENT) 21.77/6.41 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 21.77/6.41 Generated rules. Obtained 51 rulesP rules: 21.77/6.41 f_174(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_175(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 <= v110 && 0 <= 1 + v109 && 1 <= v108 21.77/6.41 f_175(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_177(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_177(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_179(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_179(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_181(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_181(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_183(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_183(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_185(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_185(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_186(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_186(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_187(v100, v101, v102, v103, v104, v105, 1, v107, v110, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_187(v100, v101, v102, v103, v104, v105, 1, v107, v110, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_188(v100, v101, v102, v103, v104, v105, 1, v107, v110, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_188(v100, v101, v102, v103, v104, v105, 1, v107, v110, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_189(v100, v101, v102, v103, v104, v105, 1, v107, v110, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: v107 = 2 * v105 21.77/6.41 f_189(v100, v101, v102, v103, v104, v105, 1, v107, v110, v109, v111, v112, v113, v114, 0, 3, 2, 4) -> f_190(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v111, v112, v113, v114, 0, 3, 2, 4) :|: v182 + v107 = v110 21.77/6.41 f_190(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v111, v112, v113, v114, 0, 3, 2, 4) -> f_191(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) :|: v183 = 1 + v182 21.77/6.41 f_191(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) -> f_192(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_192(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) -> f_193(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_193(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) -> f_173(v100, v101, v102, v103, v104, v105, 1, v107, v110, v182, v183, v111, v112, v113, v114, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_173(v100, v101, v102, v103, v104, v105, 1, v107, v108, v109, v110, v111, v112, v113, v114, 0, 3, 2, 4) -> f_174(v100, v101, v102, v103, v104, v105, 1, v107, v110, v108, v109, v111, v112, v113, v114, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_105 -> f_106(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 21.77/6.41 f_106(v1, v2, 3, 1, 4) -> f_107(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 21.77/6.41 f_107(v1, v3, v2, v4, 3, 1, 4) -> f_108(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 21.77/6.41 f_108(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_109(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 21.77/6.41 f_109(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_110(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_110(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_111(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_111(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_112(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_112(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_113(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_113(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_114(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_114(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_115(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_115(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_116(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE 21.77/6.41 f_116(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_117(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 21.77/6.41 f_117(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_118(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) :|: v15 = 2 * v11 21.77/6.41 f_118(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) -> f_119(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) :|: 0 = 0 21.77/6.41 f_119(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) -> f_120(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) :|: v13 <= v15 21.77/6.41 f_120(v1, v3, v5, v7, v9, v11, v13, v15, v2, v4, v6, v8, 0, 3, 2, 1, 4) -> f_122(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_122(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_124(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_124(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_126(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_126(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_127(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_127(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_128(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 <= v9 21.77/6.41 f_128(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_130(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_130(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_132(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_132(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_134(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_134(v1, v3, v5, v7, v9, v11, v13, v15, 1, v2, v4, v6, v8, 0, 3, 2, 4) -> f_136(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: v13 = 1 && 2 <= v15 && 1 <= v11 21.77/6.41 f_136(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_139(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_139(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_141(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_141(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_143(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_143(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_145(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_145(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_147(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 21.77/6.41 f_147(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_148(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) :|: v15 = 2 * v11 21.77/6.41 f_148(v1, v3, v5, v7, v9, v11, 1, v15, v2, v4, v6, v8, 0, 3, 2, 4) -> f_149(v1, v3, v5, v7, v9, v11, 1, v15, v25, v2, v4, v6, v8, 0, 3, 2, 4) :|: v25 + v15 = v9 21.77/6.41 f_149(v1, v3, v5, v7, v9, v11, 1, v15, v25, v2, v4, v6, v8, 0, 3, 2, 4) -> f_150(v1, v3, v5, v7, v9, v11, 1, v15, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) :|: v26 = 1 + v25 21.77/6.41 f_150(v1, v3, v5, v7, v9, v11, 1, v15, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) -> f_151(v1, v3, v5, v7, v9, v11, 1, v15, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_151(v1, v3, v5, v7, v9, v11, 1, v15, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) -> f_152(v1, v3, v5, v7, v9, v11, 1, v15, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 f_152(v1, v3, v5, v7, v9, v11, 1, v15, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) -> f_173(v1, v3, v5, v7, v9, v11, 1, v15, v9, v25, v26, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE 21.77/6.41 Combined rules. Obtained 2 rulesP rules: 21.77/6.41 f_105 -> f_174(v1:0, v3:0, v5:0, v7:0, v25:0 + 2 * v11:0, v11:0, 1, 2 * v11:0, 1 + v25:0, v25:0 + 2 * v11:0, v25:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3 + v7:0, 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 21.77/6.41 f_174(v100:0, v101:0, v102:0, v103:0, v104:0, v105:0, 1, 2 * v105:0, v182:0 + 2 * v105:0, v108:0, v109:0, v111:0, v112:0, v113:0, v114:0, 0, 3, 2, 4) -> f_174(v100:0, v101:0, v102:0, v103:0, v104:0, v105:0, 1, 2 * v105:0, 1 + v182:0, v182:0 + 2 * v105:0, v182:0, v111:0, v112:0, v113:0, v114:0, 0, 3, 2, 4) :|: v109:0 > -2 && v108:0 > 0 && v182:0 + 2 * v105:0 > -1 21.77/6.41 Filtered unneeded arguments: 21.77/6.41 f_174(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_174(x6, x8, x9, x10, x11) 21.77/6.41 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 21.77/6.41 f_105 -> f_174(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 21.77/6.41 f_174(v105:0, times~cons_2~v105:0, sum~v182:0~times~cons_2~v105:0, v108:0, v109:0) -> f_174(v105:0, 2 * v105:0, 1 + v182:0, v182:0 + 2 * v105:0, v182:0) :|: v108:0 > 0 && v182:0 + 2 * v105:0 > -1 && v109:0 > -2 && times~cons_2~v105:0 = 2 * v105:0 && sum~v182:0~times~cons_2~v105:0 = v182:0 + 2 * v105:0 21.77/6.41 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (8) 21.77/6.41 Obligation: 21.77/6.41 Rules: 21.77/6.41 f_105 -> f_174(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 21.77/6.41 f_174(v105:0, times~cons_2~v105:0, sum~v182:0~times~cons_2~v105:0, v108:0, v109:0) -> f_174(v105:0, 2 * v105:0, 1 + v182:0, v182:0 + 2 * v105:0, v182:0) :|: v108:0 > 0 && v182:0 + 2 * v105:0 > -1 && v109:0 > -2 && times~cons_2~v105:0 = 2 * v105:0 && sum~v182:0~times~cons_2~v105:0 = v182:0 + 2 * v105:0 21.77/6.41 Start term: f_105 21.77/6.41 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (9) IRS2T2 (EQUIVALENT) 21.77/6.41 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 21.77/6.41 21.77/6.41 (f_105_5,1) 21.77/6.41 (f_174_5,2) 21.77/6.41 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (10) 21.77/6.41 Obligation: 21.77/6.41 START: 1; 21.77/6.41 21.77/6.41 FROM: 1; 21.77/6.41 oldX0 := x0; 21.77/6.41 oldX1 := x1; 21.77/6.41 oldX2 := x2; 21.77/6.41 oldX3 := x3; 21.77/6.41 oldX4 := x4; 21.77/6.41 oldX5 := nondet(); 21.77/6.41 oldX6 := nondet(); 21.77/6.41 assume(oldX5 > 0 && oldX6 + 2 * oldX5 > -1 && 2 * oldX5 > 1); 21.77/6.41 x0 := oldX5; 21.77/6.41 x1 := 2 * oldX5; 21.77/6.41 x2 := 1 + oldX6; 21.77/6.41 x3 := oldX6 + 2 * oldX5; 21.77/6.41 x4 := oldX6; 21.77/6.41 TO: 2; 21.77/6.41 21.77/6.41 FROM: 2; 21.77/6.41 oldX0 := x0; 21.77/6.41 oldX1 := x1; 21.77/6.41 oldX2 := x2; 21.77/6.41 oldX3 := x3; 21.77/6.41 oldX4 := x4; 21.77/6.41 oldX5 := nondet(); 21.77/6.41 assume(oldX3 > 0 && oldX5 + 2 * oldX0 > -1 && oldX4 > -2 && oldX1 = 2 * oldX0 && oldX2 = oldX5 + 2 * oldX0); 21.77/6.41 x0 := oldX0; 21.77/6.41 x1 := 2 * oldX0; 21.77/6.41 x2 := 1 + oldX5; 21.77/6.41 x3 := oldX5 + 2 * oldX0; 21.77/6.41 x4 := oldX5; 21.77/6.41 TO: 2; 21.77/6.41 21.77/6.41 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (11) T2 (EQUIVALENT) 21.77/6.41 Used the following cutpoint-specific lexicographic rank functions: 21.77/6.41 * For cutpoint 5, used the following rank functions/bounds (in descending priority order): 21.77/6.41 - RF x2, bound 0 21.77/6.41 21.77/6.41 ---------------------------------------- 21.77/6.41 21.77/6.41 (12) 21.77/6.41 YES 22.04/6.48 EOF