YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 170 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 973 ms] (4) LLVM Symbolic Execution Graph (5) SEGraph to IRS [SOUND, 186 ms] (6) IntTRS (7) IRS2T2 [EQUIVALENT, 0 ms] (8) T2IntSys (9) T2 [EQUIVALENT, 1555 ms] (10) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox/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: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %x = alloca i32, align 4 %y = alloca i32, align 4 store 0, %1 br %2 2: %3 = load %x %4 = icmp sge %3 0 br %4, %5, %19 5: %6 = load %y %7 = sub %6 1 store %7, %y %8 = load %y %9 = icmp slt %8 0 br %9, %10, %14 10: %11 = load %x %12 = sub %11 1 store %12, %x %13 = call i32 @__VERIFIER_nondet_int() store %13, %y br %14 14: %15 = load %y %16 = icmp slt %15 0 br %16, %17, %18 17: br %19 18: br %2 19: %20 = load %1 ret %20 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) SEGraph to IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 130 rulesP rules: f_84 -> f_85(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 f_85(v1, v2, 3, 1, 4) -> f_86(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 f_86(v1, v3, v2, v4, 3, 1, 4) -> f_87(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 f_87(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_88(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_88(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_89(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_89(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_90(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_90(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_91(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: 0 <= v7 f_90(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_92(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: v7 < 0 f_91(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_93(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_92(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_94(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4) :|: 0 = 0 f_93(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) -> f_95(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) :|: TRUE f_94(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4) -> f_96(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4) :|: TRUE f_95(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) -> f_97(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: TRUE f_96(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4) -> f_98(v1, v3, v5, v7, 0, v2, v4, v6, 3, 1, 4) :|: 0 = 0 f_97(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) -> f_99(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: 1 + v11 = v9 f_99(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_100(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: TRUE f_100(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_101(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_101(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_102(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: v11 < 0 && v9 <= 0 f_101(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_103(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: 0 <= v11 && 1 <= v9 f_102(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_104(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_103(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_105(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_104(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_106(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: TRUE f_105(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_107(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: TRUE f_106(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_108(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_107(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_109(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_108(v1, v3, v5, v7, 1, v9, v11, v2, v4, v6, 0, 3, 4) -> f_110(v1, v3, v5, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 4) :|: 1 + v13 = v7 && 0 <= 1 + v13 f_109(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_111(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_110(v1, v3, v5, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 4) -> f_112(v1, v3, v5, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE f_111(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_113(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: TRUE f_112(v1, v3, v5, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 4) -> f_114(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: TRUE f_113(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_115(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: TRUE f_114(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_116(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: TRUE f_115(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_117(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_116(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_118(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: TRUE f_117(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_119(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_118(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_120(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_119(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_121(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) :|: TRUE f_120(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_122(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: v15 < 0 f_120(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_123(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: 0 <= v15 f_121(v1, v3, v5, v7, 1, v9, v11, 0, v2, v4, v6, 3, 4) -> f_124(v1, v3, v5, v7, 1, v11, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_122(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_125(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: 0 = 0 f_123(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_126(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_124(v1, v3, v5, v7, 1, v11, 0, v2, v4, v6, 3, 4) -> f_127(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: 1 + v17 = v11 && 0 <= 1 + v17 f_125(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_128(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: TRUE f_126(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) -> f_129(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) :|: TRUE f_127(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_130(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: TRUE f_128(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_131(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) :|: TRUE f_129(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) -> f_132(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) :|: TRUE f_130(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_133(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_131(v1, v3, v5, v7, 1, v9, v11, v13, v15, v2, v4, v6, 0, 3, 4) -> f_134(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_132(v1, v3, v5, v7, 1, v9, v11, v13, v15, 0, v2, v4, v6, 3, 4) -> f_135(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_133(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_136(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) :|: v17 < 0 && v11 = 0 && 1 + v17 = 0 && 0 = 0 f_133(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_137(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: 0 <= v17 && 1 <= v11 f_135(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) -> f_138(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) :|: 0 <= v13 && 1 <= v7 f_135(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) -> f_139(v1, v3, v5, -1, 1, v9, v11, 0, v15, v2, v4, v6, 3, 4) :|: v13 < 0 && v7 = 0 && 1 + v13 = 0 && 0 = 0 f_136(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) -> f_140(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) :|: 0 = 0 f_137(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_141(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_138(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) -> f_142(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_139(v1, v3, v5, -1, 1, v9, v11, 0, v15, v2, v4, v6, 3, 4) -> f_143(v1, v3, v5, -1, 0, v9, v11, 1, v15, v2, v4, v6, 3, 4) :|: 0 = 0 f_140(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) -> f_144(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) :|: TRUE f_141(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_145(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: TRUE f_142(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) -> f_146(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) :|: TRUE f_143(v1, v3, v5, -1, 0, v9, v11, 1, v15, v2, v4, v6, 3, 4) -> f_147(v1, v3, v5, -1, 0, v9, v11, 1, v15, v2, v4, v6, 3, 4) :|: TRUE f_144(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) -> f_148(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) :|: 0 = 0 f_145(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_149(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_146(v1, v3, v5, v13, 1, v9, v11, v7, v15, 0, v2, v4, v6, 3, 4) -> f_150(v1, v3, v5, v13, 1, v15, v11, v7, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_147(v1, v3, v5, -1, 0, v9, v11, 1, v15, v2, v4, v6, 3, 4) -> f_151(v1, v3, v5, -1, 0, v9, v11, 1, v15, v2, v4, v6, 3, 4) :|: 0 = 0 f_148(v1, v3, v5, v7, 1, 0, -1, v2, v4, v6, 3, 4) -> f_152(v1, v3, v5, v7, 1, 0, -1, v37, v2, v4, v6, 3, 4) :|: 1 + v37 = v7 && 0 <= 1 + v37 f_149(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_153(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_150(v1, v3, v5, v13, 1, v15, v11, v7, 0, v2, v4, v6, 3, 4) -> f_154(v1, v3, v5, v13, 1, v15, v38, v11, v7, 0, v2, v4, v6, 3, 4) :|: 1 + v38 = v15 && 0 <= 1 + v38 f_152(v1, v3, v5, v7, 1, 0, -1, v37, v2, v4, v6, 3, 4) -> f_155(v1, v3, v5, v7, 1, 0, -1, v37, v2, v4, v6, 3, 4) :|: TRUE f_153(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_156(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: TRUE f_154(v1, v3, v5, v13, 1, v15, v38, v11, v7, 0, v2, v4, v6, 3, 4) -> f_157(v1, v3, v5, v13, 1, v15, v38, v11, v7, 0, v2, v4, v6, 3, 4) :|: TRUE f_155(v1, v3, v5, v7, 1, 0, -1, v37, v2, v4, v6, 3, 4) -> f_158(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 3, 4) :|: TRUE f_156(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_159(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: TRUE f_157(v1, v3, v5, v13, 1, v15, v38, v11, v7, 0, v2, v4, v6, 3, 4) -> f_160(v1, v3, v5, v13, 1, v15, v38, v7, 0, v2, v4, v6, 3, 4) :|: 0 = 0 f_158(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 3, 4) -> f_161(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 3, 4) :|: TRUE f_159(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) -> f_115(v1, v3, v5, v7, 1, v11, v17, 0, v2, v4, v6, 3, 4) :|: TRUE f_160(v1, v3, v5, v13, 1, v15, v38, v7, 0, v2, v4, v6, 3, 4) -> f_162(v1, v3, v5, v13, 1, 0, -1, v7, v2, v4, v6, 3, 4) :|: v38 < 0 && v15 = 0 && 1 + v38 = 0 && 0 = 0 f_160(v1, v3, v5, v13, 1, v15, v38, v7, 0, v2, v4, v6, 3, 4) -> f_163(v1, v3, v5, v13, 1, v15, v38, v7, 0, v2, v4, v6, 3, 4) :|: 0 <= v38 && 1 <= v15 f_161(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 3, 4) -> f_164(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 3, 4) :|: TRUE f_162(v1, v3, v5, v13, 1, 0, -1, v7, v2, v4, v6, 3, 4) -> f_165(v1, v3, v5, v13, 1, 0, -1, v7, v2, v4, v6, 3, 4) :|: 0 = 0 f_163(v1, v3, v5, v13, 1, v15, v38, v7, 0, v2, v4, v6, 3, 4) -> f_166(v1, v3, v5, v13, 1, v15, v38, 0, v7, v2, v4, v6, 3, 4) :|: 0 = 0 f_164(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 3, 4) -> f_167(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: 0 = 0 f_165(v1, v3, v5, v13, 1, 0, -1, v7, v2, v4, v6, 3, 4) -> f_168(v1, v3, v5, v13, 1, 0, -1, v7, v2, v4, v6, 3, 4) :|: TRUE f_166(v1, v3, v5, v13, 1, v15, v38, 0, v7, v2, v4, v6, 3, 4) -> f_169(v1, v3, v5, v13, 1, v15, v38, 0, v7, v2, v4, v6, 3, 4) :|: TRUE f_167(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_170(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: v46 < 0 f_167(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_171(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: 0 <= v46 f_168(v1, v3, v5, v13, 1, 0, -1, v7, v2, v4, v6, 3, 4) -> f_199(v1, v3, v5, v13, 1, 0, -1, v7, 0, v2, v4, v6, 3, 4) :|: TRUE f_169(v1, v3, v5, v13, 1, v15, v38, 0, v7, v2, v4, v6, 3, 4) -> f_201(v1, v3, v5, v13, 1, v15, v38, 0, v7, v15, v2, v4, v6, 3, 4) :|: TRUE f_170(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_174(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: 0 = 0 f_171(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_175(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: 0 = 0 f_174(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_178(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: TRUE f_175(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_179(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: TRUE f_178(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_182(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) :|: TRUE f_179(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_129(v1, v3, v5, v7, 1, 0, -1, v37, v46, 0, v2, v4, v6, 3, 4) :|: TRUE f_182(v1, v3, v5, v7, 1, 0, -1, v46, v37, v2, v4, v6, 3, 4) -> f_131(v1, v3, v5, v7, 1, 0, -1, v37, v46, v2, v4, v6, 0, 3, 4) :|: TRUE f_199(v234, v235, v236, v237, 1, 0, -1, v241, v242, v243, v244, v245, 3, 4) -> f_202(v234, v235, v236, v237, 1, 0, -1, v242, v243, v244, v245, 3, 4) :|: 0 = 0 f_201(v268, v269, v270, v271, 1, v273, v274, 0, v276, v277, v278, v279, v280, 3, 4) -> f_225(v268, v269, v270, v271, 1, v273, v274, 0, v276, v277, v278, v279, v280, 3, 4) :|: TRUE f_202(v234, v235, v236, v237, 1, 0, -1, v242, v243, v244, v245, 3, 4) -> f_204(v234, v235, v236, v237, 1, 0, -1, v281, v242, v243, v244, v245, 3, 4) :|: 1 + v281 = v237 && 0 <= 1 + v281 f_204(v234, v235, v236, v237, 1, 0, -1, v281, v242, v243, v244, v245, 3, 4) -> f_206(v234, v235, v236, v237, 1, 0, -1, v281, v242, v243, v244, v245, 3, 4) :|: TRUE f_206(v234, v235, v236, v237, 1, 0, -1, v281, v242, v243, v244, v245, 3, 4) -> f_208(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) :|: TRUE f_208(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) -> f_210(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) :|: TRUE f_210(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) -> f_212(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) :|: TRUE f_212(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) -> f_164(v234, v235, v236, v237, 1, 0, -1, v281, v296, v243, v244, v245, 3, 4) :|: TRUE f_225(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_226(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_226(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_227(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_227(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_228(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: TRUE f_228(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_229(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: TRUE f_229(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_230(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_230(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_231(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_231(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_232(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: TRUE f_232(v394, v395, v396, v397, 1, v399, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_233(v394, v395, v396, v397, 1, v400, 0, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_233(v394, v395, v396, v397, 1, v400, 0, v402, v403, v404, v405, v406, 3, 4) -> f_234(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) :|: 1 + v446 = v400 && 0 <= 1 + v446 f_234(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) -> f_235(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) :|: TRUE f_235(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) -> f_236(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_236(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) -> f_237(v394, v395, v396, v397, 1, 0, -1, v402, v403, v404, v405, v406, 3, 4) :|: v446 < 0 && v400 = 0 && 1 + v446 = 0 && 0 = 0 f_236(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) -> f_238(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 2, 4) :|: 0 <= v446 && 1 <= v400 && 2 <= v403 f_237(v394, v395, v396, v397, 1, 0, -1, v402, v403, v404, v405, v406, 3, 4) -> f_239(v394, v395, v396, v397, 1, 0, -1, v402, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_238(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 2, 4) -> f_240(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 2, 4) :|: 0 = 0 f_239(v394, v395, v396, v397, 1, 0, -1, v402, v403, v404, v405, v406, 3, 4) -> f_241(v394, v395, v396, v397, 1, 0, -1, v402, v403, v404, v405, v406, 3, 4) :|: TRUE f_240(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 2, 4) -> f_242(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 2, 4) :|: TRUE f_241(v394, v395, v396, v397, 1, 0, -1, v402, v403, v404, v405, v406, 3, 4) -> f_243(v394, v395, v396, v397, 1, 0, -1, v403, v404, v405, v406, 3, 4) :|: 0 = 0 f_242(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 2, 4) -> f_225(v394, v395, v396, v397, 1, v400, v446, 0, v402, v403, v404, v405, v406, 3, 4) :|: TRUE f_243(v394, v395, v396, v397, 1, 0, -1, v403, v404, v405, v406, 3, 4) -> f_244(v394, v395, v396, v397, 1, 0, -1, v498, v403, v404, v405, v406, 3, 4) :|: 1 + v498 = v397 && 0 <= 1 + v498 f_244(v394, v395, v396, v397, 1, 0, -1, v498, v403, v404, v405, v406, 3, 4) -> f_245(v394, v395, v396, v397, 1, 0, -1, v498, v403, v404, v405, v406, 3, 4) :|: TRUE f_245(v394, v395, v396, v397, 1, 0, -1, v498, v403, v404, v405, v406, 3, 4) -> f_246(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) :|: TRUE f_246(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) -> f_247(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) :|: TRUE f_247(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) -> f_248(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) :|: TRUE f_248(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) -> f_164(v394, v395, v396, v397, 1, 0, -1, v498, v500, v404, v405, v406, 3, 4) :|: TRUE Combined rules. Obtained 13 rulesP rules: f_133(v1:0, v3:0, v5:0, 1 + v37:0, 1, 0, -1, 0, v2:0, v4:0, v6:0, 3, 4) -> f_167(v1:0, v3:0, v5:0, 1 + v37:0, 1, 0, -1, v46:0, v37:0, v2:0, v4:0, v6:0, 3, 4) :|: v37:0 > -2 f_167(v1:0, v3:0, v5:0, v7:0, 1, 0, -1, v46:0, v37:0, v2:0, v4:0, v6:0, 3, 4) -> f_134(v1:0, v3:0, v5:0, v7:0, 1, 0, -1, v37:0, v46:0, 0, v2:0, v4:0, v6:0, 3, 4) :|: v46:0 < 0 f_135(v1:0, v3:0, v5:0, 1 + v281:0, 1, v9:0, v11:0, v7:0, 0, 0, v2:0, v4:0, v6:0, 3, 4) -> f_167(v1:0, v3:0, v5:0, 1 + v281:0, 1, 0, -1, v296:0, v281:0, v2:0, v4:0, v6:0, 3, 4) :|: v7:0 > 0 && v281:0 > -2 f_167(v1:0, v3:0, v5:0, v7:0, 1, 0, -1, v46:0, v37:0, v2:0, v4:0, v6:0, 3, 4) -> f_135(v1:0, v3:0, v5:0, v37:0, 1, 0, -1, v7:0, v46:0, 0, v2:0, v4:0, v6:0, 3, 4) :|: v46:0 > -1 f_236(v394:0, v395:0, v396:0, 1 + v498:0, 1, 0, -1, 0, v402:0, v403:0, v404:0, v405:0, v406:0, 3, 4) -> f_167(v394:0, v395:0, v396:0, 1 + v498:0, 1, 0, -1, v500:0, v498:0, v404:0, v405:0, v406:0, 3, 4) :|: v498:0 > -2 f_84 -> f_98(v1:0, v3:0, v5:0, v7:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 1, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 < 0 f_236(v394:0, v395:0, v396:0, v397:0, 1, v400:0, 1 + v446:1, 0, v402:0, v403:0, v404:0, v405:0, v406:0, 3, 4) -> f_236(v394:0, v395:0, v396:0, v397:0, 1, 1 + v446:1, v446:1, 0, v402:0, v403:0, v404:0, v405:0, v406:0, 3, 4) :|: v446:1 > -2 && v400:0 > 0 && v403:0 > 1 f_135(v1:0, v3:0, v5:0, v13:0, 1, v9:0, v11:0, v7:0, 1 + (1 + v446:0), 0, v2:0, v4:0, v6:0, 3, 4) -> f_236(v1:0, v3:0, v5:0, v13:0, 1, 1 + v446:0, v446:0, 0, v7:0, 1 + (1 + v446:0), v2:0, v4:0, v6:0, 3, 4) :|: v446:0 > -2 && v7:0 > 0 && v13:0 > -1 f_84 -> f_133(v1:0, v3:0, v5:0, v7:0, 1, 1 + v17:0, v17:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > -1 && v17:0 > -2 f_135(v1:0, v3:0, v5:0, -1, 1, v9:0, v11:0, 0, v15:0, 0, v2:0, v4:0, v6:0, 3, 4) -> f_151(v1:0, v3:0, v5:0, -1, 0, v9:0, v11:0, 1, v15:0, v2:0, v4:0, v6:0, 3, 4) :|: TRUE f_133(v1:0, v3:0, v5:0, v7:0, 1, v11:0, 1 + v17:1, 0, v2:0, v4:0, v6:0, 3, 4) -> f_133(v1:0, v3:0, v5:0, v7:0, 1, 1 + v17:1, v17:1, 0, v2:0, v4:0, v6:0, 3, 4) :|: v11:0 > 0 && v17:1 > -2 f_84 -> f_134(v1:0, v3:0, v5:0, 1 + v13:0, 1, 1 + v11:0, v11:0, v13:0, v15:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v13:0 > -2 && v11:0 < 0 && v15:0 < 0 f_84 -> f_135(v1:0, v3:0, v5:0, v13:0, 1, 1 + v11:0, v11:0, 1 + v13:0, v15:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v13:0 > -2 && v11:0 < 0 && v15:0 > -1 Filtered unneeded arguments: f_133(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) -> f_133(x4, x6, x7) f_167(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> f_167(x4, x8, x9) f_135(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_135(x4, x8, x9) f_236(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f_236(x4, x6, x7, x10) Removed division, modulo operations, cleaned up constraints. Obtained 13 rules.P rules: f_133(sum~cons_1~v37:0, cons_0, cons_-1) -> f_167(1 + v37:0, v46:0, v37:0) :|: v37:0 > -2 && sum~cons_1~v37:0 = 1 + v37:0 && cons_0 = 0 && cons_-1 = -1 f_167(v7:0, v46:0, v37:0) -> f_134(v1:0, v3:0, v5:0, v7:0, 1, 0, -1, v37:0, v46:0, 0, v2:0, v4:0, v6:0, 3, 4) :|: v46:0 < 0 f_135(sum~cons_1~v281:0, v7:0, cons_0) -> f_167(1 + v281:0, v296:0, v281:0) :|: v7:0 > 0 && v281:0 > -2 && sum~cons_1~v281:0 = 1 + v281:0 && cons_0 = 0 f_167(v7:0, v46:0, v37:0) -> f_135(v37:0, v7:0, v46:0) :|: v46:0 > -1 f_236(sum~cons_1~v498:0, cons_0, cons_-1, v403:0) -> f_167(1 + v498:0, v500:0, v498:0) :|: v498:0 > -2 && sum~cons_1~v498:0 = 1 + v498:0 && cons_0 = 0 && cons_-1 = -1 f_84 -> f_98(v1:0, v3:0, v5:0, v7:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 1, 4) :|: v1:0 > 0 && v3:0 > 0 && v7:0 < 0 && v5:0 > 0 f_236(v397:0, v400:0, sum~cons_1~v446:1, v403:0) -> f_236(v397:0, 1 + v446:1, v446:1, v403:0) :|: v400:0 > 0 && v403:0 > 1 && v446:1 > -2 && sum~cons_1~v446:1 = 1 + v446:1 f_135(v13:0, v7:0, sum~cons_1~sum~cons_1~v446:0) -> f_236(v13:0, 1 + v446:0, v446:0, 1 + (1 + v446:0)) :|: v7:0 > 0 && v13:0 > -1 && v446:0 > -2 && sum~cons_1~sum~cons_1~v446:0 = 1 + (1 + v446:0) f_84 -> f_133(v7:0, 1 + v17:0, v17:0) :|: v7:0 > -1 && v17:0 > -2 f_135(cons_-1, cons_0, v15:0) -> f_151(v1:0, v3:0, v5:0, -1, 0, v9:0, v11:0, 1, v15:0, v2:0, v4:0, v6:0, 3, 4) :|: TRUE && cons_-1 = -1 && cons_0 = 0 f_133(v7:0, v11:0, sum~cons_1~v17:1) -> f_133(v7:0, 1 + v17:1, v17:1) :|: v11:0 > 0 && v17:1 > -2 && sum~cons_1~v17:1 = 1 + v17:1 f_84 -> f_134(v1:0, v3:0, v5:0, 1 + v13:0, 1, 1 + v11:0, v11:0, v13:0, v15:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 4) :|: v1:0 > 0 && v3:0 > 0 && v5:0 > 0 && v13:0 > -2 && v15:0 < 0 && v11:0 < 0 f_84 -> f_135(v13:0, 1 + v13:0, v15:0) :|: v13:0 > -2 && v15:0 > -1 ---------------------------------------- (6) Obligation: Rules: f_133(sum~cons_1~v37:0, cons_0, cons_-1) -> f_167(1 + v37:0, v46:0, v37:0) :|: v37:0 > -2 && sum~cons_1~v37:0 = 1 + v37:0 && cons_0 = 0 && cons_-1 = -1 f_167(x, x1, x2) -> f_134(x3, x4, x5, x, 1, 0, -1, x2, x1, 0, x6, x7, x8, 3, 4) :|: x1 < 0 f_135(x9, x10, x11) -> f_167(1 + x12, x13, x12) :|: x10 > 0 && x12 > -2 && x9 = 1 + x12 && x11 = 0 f_167(x14, x15, x16) -> f_135(x16, x14, x15) :|: x15 > -1 f_236(x17, x18, x19, x20) -> f_167(1 + x21, x22, x21) :|: x21 > -2 && x17 = 1 + x21 && x18 = 0 && x19 = -1 f_84 -> f_98(v1:0, v3:0, v5:0, v7:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 1, 4) :|: v1:0 > 0 && v3:0 > 0 && v7:0 < 0 && v5:0 > 0 f_236(v397:0, v400:0, sum~cons_1~v446:1, v403:0) -> f_236(v397:0, 1 + v446:1, v446:1, v403:0) :|: v400:0 > 0 && v403:0 > 1 && v446:1 > -2 && sum~cons_1~v446:1 = 1 + v446:1 f_135(x23, x24, x25) -> f_236(x23, 1 + x26, x26, 1 + (1 + x26)) :|: x24 > 0 && x23 > -1 && x26 > -2 && x25 = 1 + (1 + x26) f_84 -> f_133(x27, 1 + x28, x28) :|: x27 > -1 && x28 > -2 f_135(x29, x30, x31) -> f_151(x32, x33, x34, -1, 0, x35, x36, 1, x31, x37, x38, x39, 3, 4) :|: TRUE && x29 = -1 && x30 = 0 f_133(x40, x41, x42) -> f_133(x40, 1 + x43, x43) :|: x41 > 0 && x43 > -2 && x42 = 1 + x43 f_84 -> f_134(x44, x45, x46, 1 + x47, 1, 1 + x48, x48, x47, x49, 0, 3 + x44, 3 + x45, 3 + x46, 3, 4) :|: x44 > 0 && x45 > 0 && x46 > 0 && x47 > -2 && x49 < 0 && x48 < 0 f_84 -> f_135(v13:0, 1 + v13:0, v15:0) :|: v13:0 > -2 && v15:0 > -1 Start term: f_84 ---------------------------------------- (7) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_133_15,1) (f_167_15,2) (f_134_15,3) (f_135_15,4) (f_236_15,5) (f_84_15,6) (f_98_15,7) (f_151_15,8) ---------------------------------------- (8) Obligation: START: 6; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := oldX0 - 1; oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); assume(oldX15 > -2 && oldX0 = 1 + oldX15 && oldX1 = 0 && oldX2 = -1); x0 := 1 + oldX15; x1 := oldX16; x2 := oldX0 - 1; x3 := oldX17; x4 := oldX18; x5 := oldX19; x6 := oldX20; x7 := oldX21; x8 := oldX22; x9 := oldX23; x10 := oldX24; x11 := oldX25; x12 := oldX26; x13 := oldX27; x14 := oldX28; TO: 2; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); assume(oldX1 < 0); x0 := oldX15; x1 := oldX16; x2 := oldX17; x3 := oldX0; x4 := 1; x5 := 0; x6 := -1; x7 := oldX2; x8 := oldX1; x9 := 0; x10 := oldX18; x11 := oldX19; x12 := oldX20; x13 := 3; x14 := 4; TO: 3; FROM: 4; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := oldX0 - 1; oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); assume(oldX1 > 0 && oldX15 > -2 && oldX0 = 1 + oldX15 && oldX2 = 0); x0 := 1 + oldX15; x1 := oldX16; x2 := oldX0 - 1; x3 := oldX17; x4 := oldX18; x5 := oldX19; x6 := oldX20; x7 := oldX21; x8 := oldX22; x9 := oldX23; x10 := oldX24; x11 := oldX25; x12 := oldX26; x13 := oldX27; x14 := oldX28; TO: 2; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); assume(oldX1 > -1); x0 := oldX2; x1 := oldX0; x2 := oldX1; x3 := oldX15; x4 := oldX16; x5 := oldX17; x6 := oldX18; x7 := oldX19; x8 := oldX20; x9 := oldX21; x10 := oldX22; x11 := oldX23; x12 := oldX24; x13 := oldX25; x14 := oldX26; TO: 4; FROM: 5; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := oldX0 - 1; oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); assume(oldX15 > -2 && oldX0 = 1 + oldX15 && oldX1 = 0 && oldX2 = -1); x0 := 1 + oldX15; x1 := oldX16; x2 := oldX0 - 1; x3 := oldX17; x4 := oldX18; x5 := oldX19; x6 := oldX20; x7 := oldX21; x8 := oldX22; x9 := oldX23; x10 := oldX24; x11 := oldX25; x12 := oldX26; x13 := oldX27; x14 := oldX28; TO: 2; FROM: 6; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); assume(oldX15 > 0 && oldX16 > 0 && oldX18 < 0 && oldX17 > 0); x0 := oldX15; x1 := oldX16; x2 := oldX17; x3 := oldX18; x4 := 0; x5 := 3 + oldX15; x6 := 3 + oldX16; x7 := 3 + oldX17; x8 := 3; x9 := 1; x10 := 4; x11 := oldX19; x12 := oldX20; x13 := oldX21; x14 := oldX22; TO: 7; FROM: 5; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := oldX2 - 1; oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); assume(oldX1 > 0 && oldX3 > 1 && oldX15 > -2 && oldX2 = 1 + oldX15); x0 := oldX0; x1 := 1 + oldX15; x2 := oldX2 - 1; x3 := oldX3; x4 := oldX16; x5 := oldX17; x6 := oldX18; x7 := oldX19; x8 := oldX20; x9 := oldX21; x10 := oldX22; x11 := oldX23; x12 := oldX24; x13 := oldX25; x14 := oldX26; TO: 5; FROM: 4; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := oldX2 - 2; oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); assume(oldX1 > 0 && oldX0 > -1 && oldX15 > -2 && oldX2 = 1 + (1 + oldX15)); x0 := oldX0; x1 := 1 + oldX15; x2 := oldX2 - 2; x3 := 1 + (1 + oldX15); x4 := oldX16; x5 := oldX17; x6 := oldX18; x7 := oldX19; x8 := oldX20; x9 := oldX21; x10 := oldX22; x11 := oldX23; x12 := oldX24; x13 := oldX25; x14 := oldX26; TO: 5; FROM: 6; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); assume(oldX15 > -1 && oldX16 > -2); x0 := oldX15; x1 := 1 + oldX16; x2 := oldX16; x3 := oldX17; x4 := oldX18; x5 := oldX19; x6 := oldX20; x7 := oldX21; x8 := oldX22; x9 := oldX23; x10 := oldX24; x11 := oldX25; x12 := oldX26; x13 := oldX27; x14 := oldX28; TO: 1; FROM: 4; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); assume(0 = 0 && oldX0 = -1 && oldX1 = 0); x0 := oldX15; x1 := oldX16; x2 := oldX17; x3 := -1; x4 := 0; x5 := oldX18; x6 := oldX19; x7 := 1; x8 := oldX2; x9 := oldX20; x10 := oldX21; x11 := oldX22; x12 := 3; x13 := 4; x14 := oldX23; TO: 8; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := oldX2 - 1; oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); assume(oldX1 > 0 && oldX15 > -2 && oldX2 = 1 + oldX15); x0 := oldX0; x1 := 1 + oldX15; x2 := oldX2 - 1; x3 := oldX16; x4 := oldX17; x5 := oldX18; x6 := oldX19; x7 := oldX20; x8 := oldX21; x9 := oldX22; x10 := oldX23; x11 := oldX24; x12 := oldX25; x13 := oldX26; x14 := oldX27; TO: 1; FROM: 6; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); assume(oldX15 > 0 && oldX16 > 0 && oldX17 > 0 && oldX18 > -2 && oldX20 < 0 && oldX19 < 0); x0 := oldX15; x1 := oldX16; x2 := oldX17; x3 := 1 + oldX18; x4 := 1; x5 := 1 + oldX19; x6 := oldX19; x7 := oldX18; x8 := oldX20; x9 := 0; x10 := 3 + oldX15; x11 := 3 + oldX16; x12 := 3 + oldX17; x13 := 3; x14 := 4; TO: 3; FROM: 6; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := nondet(); oldX16 := nondet(); oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); assume(oldX15 > -2 && oldX16 > -1); x0 := oldX15; x1 := 1 + oldX15; x2 := oldX16; x3 := oldX17; x4 := oldX18; x5 := oldX19; x6 := oldX20; x7 := oldX21; x8 := oldX22; x9 := oldX23; x10 := oldX24; x11 := oldX25; x12 := oldX26; x13 := oldX27; x14 := oldX28; TO: 4; ---------------------------------------- (9) T2 (EQUIVALENT) Initially, performed program simplifications using lexicographic rank functions: * Removed transitions 20, 21, 25, 26, 31, 34, 35 using the following rank functions: - Rank function 1: RF for loc. 12: 2+4*x2 RF for loc. 14: 4*x0 RF for loc. 19: 1+4*x0 RF for loc. 23: 4*x0 Bound for (chained) transitions 25: 1 Bound for (chained) transitions 26: 1 Bound for (chained) transitions 34: 0 - Rank function 2: RF for loc. 12: 1 RF for loc. 14: 1+2*x2 RF for loc. 19: 0 RF for loc. 23: 2*x2 Bound for (chained) transitions 20, 21: 1 - Rank function 3: RF for loc. 14: 2*x2 RF for loc. 23: -1+2*x2 Bound for (chained) transitions 35: -1 - Rank function 4: RF for loc. 14: 0 RF for loc. 23: -1 Bound for (chained) transitions 31: 0 * Removed transitions 14, 16, 17 using the following rank functions: - Rank function 1: RF for loc. 11: 1+2*x2 RF for loc. 15: 2*x2 Bound for (chained) transitions 16: 0 Bound for (chained) transitions 17: 0 - Rank function 2: RF for loc. 11: 1 RF for loc. 15: 0 Bound for (chained) transitions 14: 1 ---------------------------------------- (10) YES