17.09/5.42 YES 17.09/5.43 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 17.09/5.43 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.09/5.43 17.09/5.43 17.09/5.43 Termination of the given C Problem could be proven: 17.09/5.43 17.09/5.43 (0) C Problem 17.09/5.43 (1) CToLLVMProof [EQUIVALENT, 171 ms] 17.09/5.43 (2) LLVM problem 17.09/5.43 (3) LLVMToTerminationGraphProof [EQUIVALENT, 990 ms] 17.09/5.43 (4) LLVM Symbolic Execution Graph 17.09/5.43 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 17.09/5.43 (6) LLVM Symbolic Execution Lasso 17.09/5.43 (7) Lasso2IRS [EQUIVALENT, 131 ms] 17.09/5.43 (8) IntTRS 17.09/5.43 (9) IRS2T2 [EQUIVALENT, 0 ms] 17.09/5.43 (10) T2IntSys 17.09/5.43 (11) T2 [EQUIVALENT, 1564 ms] 17.09/5.43 (12) YES 17.09/5.43 17.09/5.43 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (0) 17.09/5.43 Obligation: 17.09/5.43 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (1) CToLLVMProof (EQUIVALENT) 17.09/5.43 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (2) 17.09/5.43 Obligation: 17.09/5.43 LLVM Problem 17.09/5.43 17.09/5.43 Aliases: 17.09/5.43 17.09/5.43 Data layout: 17.09/5.43 17.09/5.43 "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" 17.09/5.43 17.09/5.43 Machine: 17.09/5.43 17.09/5.43 "x86_64-pc-linux-gnu" 17.09/5.43 17.09/5.43 Type definitions: 17.09/5.43 17.09/5.43 Global variables: 17.09/5.43 17.09/5.43 Function declarations and definitions: 17.09/5.43 17.09/5.43 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 17.09/5.43 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 17.09/5.43 0: 17.09/5.43 %1 = alloca i32, align 4 17.09/5.43 %y = alloca i32, align 4 17.09/5.43 %x = alloca i32, align 4 17.09/5.43 store 0, %1 17.09/5.43 %2 = call i32 @__VERIFIER_nondet_int() 17.09/5.43 store %2, %y 17.09/5.43 %3 = load %y 17.09/5.43 %4 = add %3 42 17.09/5.43 store %4, %x 17.09/5.43 br %5 17.09/5.43 5: 17.09/5.43 %6 = load %x 17.09/5.43 %7 = icmp sge %6 0 17.09/5.43 br %7, %8, %17 17.09/5.43 8: 17.09/5.43 %9 = load %y 17.09/5.43 %10 = mul 2 %9 17.09/5.43 %11 = load %x 17.09/5.43 %12 = sub %10 %11 17.09/5.43 store %12, %y 17.09/5.43 %13 = load %y 17.09/5.43 %14 = load %x 17.09/5.43 %15 = add %13 %14 17.09/5.43 %16 = sdiv %15 2 17.09/5.43 store %16, %x 17.09/5.43 br %5 17.09/5.43 17: 17.09/5.43 ret 0 17.09/5.43 17.09/5.43 17.09/5.43 Analyze Termination of all function calls matching the pattern: 17.09/5.43 main() 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (3) LLVMToTerminationGraphProof (EQUIVALENT) 17.09/5.43 Constructed symbolic execution graph for LLVM program and proved memory safety. 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (4) 17.09/5.43 Obligation: 17.09/5.43 SE Graph 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 17.09/5.43 Converted SEGraph to 1 independent lasso. 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (6) 17.09/5.43 Obligation: 17.09/5.43 Lasso 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (7) Lasso2IRS (EQUIVALENT) 17.09/5.43 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 17.09/5.43 Generated rules. Obtained 43 rulesP rules: 17.09/5.43 f_145(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) -> f_146(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) :|: 0 <= v50 17.09/5.43 f_146(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) -> f_148(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) :|: 0 = 0 17.09/5.43 f_148(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) -> f_150(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 f_150(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) -> f_152(v40, v41, v42, v43, v44, v50, 1, v49, v48, v45, v51, v52, v53, 0, 3, 42, 4) :|: 0 = 0 17.09/5.43 f_152(v40, v41, v42, v43, v44, v50, 1, v49, v48, v45, v51, v52, v53, 0, 3, 42, 4) -> f_153(v40, v41, v42, v43, v44, v50, 1, v49, v55, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) :|: v55 = 2 * v49 17.09/5.43 f_153(v40, v41, v42, v43, v44, v50, 1, v49, v55, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) -> f_154(v40, v41, v42, v43, v44, v50, 1, v49, v55, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) :|: 0 = 0 17.09/5.43 f_154(v40, v41, v42, v43, v44, v50, 1, v49, v55, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) -> f_155(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) :|: v56 + v50 = v55 17.09/5.43 f_155(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) -> f_156(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 f_156(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) -> f_157(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) :|: 0 = 0 17.09/5.43 f_157(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v45, v48, v51, v52, v53, 0, 3, 42, 2, 4) -> f_158(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v48, v51, v52, v53, 0, 3, 42, 2, 4) :|: 0 = 0 17.09/5.43 f_158(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v48, v51, v52, v53, 0, 3, 42, 2, 4) -> f_159(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v51, v52, v53, 0, 3, 42, 2, 4) :|: v55 = v56 + v50 17.09/5.43 f_159(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v51, v52, v53, 0, 3, 42, 2, 4) -> f_160(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) :|: v58 = v55 / 2 17.09/5.43 f_160(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) -> f_161(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 f_161(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) -> f_162(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 f_162(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) -> f_144(v40, v41, v42, v43, v44, v50, 1, v49, v55, v56, v58, v51, v52, v53, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 f_144(v40, v41, v42, v43, v44, v45, 1, v47, v48, v49, v50, v51, v52, v53, 0, 3, 42, 2, 4) -> f_145(v40, v41, v42, v43, v44, v50, 1, v47, v48, v45, v49, v51, v52, v53, 0, 3, 42, 2, 4) :|: 0 = 0 17.09/5.43 f_78 -> f_79(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 17.09/5.43 f_79(v1, v2, 3, 1, 4) -> f_80(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 17.09/5.43 f_80(v1, v3, v2, v4, 3, 1, 4) -> f_81(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 17.09/5.43 f_81(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_82(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 17.09/5.43 f_82(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_83(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 17.09/5.43 f_83(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_84(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 17.09/5.43 f_84(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_85(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0 17.09/5.43 f_85(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_86(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) :|: v9 = 42 + v7 17.09/5.43 f_86(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) -> f_87(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) :|: TRUE 17.09/5.43 f_87(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) -> f_88(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) :|: TRUE 17.09/5.43 f_88(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) -> f_89(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) :|: 0 = 0 17.09/5.43 f_89(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) -> f_90(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) :|: 0 <= v9 && 0 <= 42 + v7 17.09/5.43 f_90(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 42, 1, 4) -> f_92(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 42, 4) :|: 0 = 0 17.09/5.43 f_92(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 42, 4) -> f_94(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 42, 4) :|: TRUE 17.09/5.43 f_94(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 42, 4) -> f_96(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 42, 4) :|: 0 = 0 17.09/5.43 f_96(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 42, 4) -> f_97(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: v11 = 2 * v7 && 0 <= 84 + v11 17.09/5.43 f_97(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_98(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: 0 = 0 17.09/5.43 f_98(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_99(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: v12 + v9 = v11 17.09/5.43 f_99(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_100(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: TRUE 17.09/5.43 f_100(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_101(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: 0 = 0 17.09/5.43 f_101(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_102(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: 0 = 0 17.09/5.43 f_102(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_103(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: v11 = v12 + v9 17.09/5.43 f_103(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_104(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: v7 = v11 / 2 17.09/5.43 f_104(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_105(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: TRUE 17.09/5.43 f_105(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_106(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) :|: TRUE 17.09/5.43 f_106(v1, v3, v5, v7, v9, 1, v11, v12, v2, v4, v6, 0, 3, 42, 2, 4, 84) -> f_125(v1, v3, v5, v7, v9, v9, 1, v7, v11, v12, v7, v2, v4, v6, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 f_125(v20, v21, v22, v23, v24, v25, 1, v27, v28, v29, v30, v31, v32, v33, 0, 3, 42, 2, 4) -> f_144(v20, v21, v22, v23, v24, v25, 1, v27, v28, v29, v30, v31, v32, v33, 0, 3, 42, 2, 4) :|: TRUE 17.09/5.43 Combined rules. Obtained 2 rulesP rules: 17.09/5.43 f_78 -> f_145(v1:0, v3:0, v5:0, v7:0, 42 + v7:0, v7:0, 1, v7:0, v12:0 + (42 + v7:0), 42 + v7:0, v12:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 0, 3, 42, 2, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > -43 && v12:0 + (42 + v7:0) > -85 && v7:0 = (v12:0 + (42 + v7:0)) / 2 && v12:0 + (42 + v7:0) = 2 * v7:0 17.09/5.43 f_145(v40:0, v41:0, v42:0, v43:0, v44:0, v50:0, 1, v47:0, v48:0, v45:0, v49:0, v51:0, v52:0, v53:0, 0, 3, 42, 2, 4) -> f_145(v40:0, v41:0, v42:0, v43:0, v44:0, v58:0, 1, v49:0, v56:0 + v50:0, v50:0, v56:0, v51:0, v52:0, v53:0, 0, 3, 42, 2, 4) :|: v50:0 > -1 && v58:0 = (v56:0 + v50:0) / 2 && v56:0 + v50:0 = 2 * v49:0 17.09/5.43 Filtered unneeded arguments: 17.09/5.43 f_145(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_145(x6, x11) 17.09/5.43 Removed division, modulo operations, cleaned up constraints. Obtained 6 rules.P rules: 17.09/5.43 f_78 -> f_78' :|: TRUE 17.09/5.43 f_78' -> f_145(div, v12:0) :|: v12:0 + (42 + div) > -85 && div > -43 && v12:0 + (42 + div) < 0 && v12:0 + (42 + div) - 2 * div > -2 && v12:0 + (42 + div) - 2 * div <= 0 && v12:0 + (42 + div) = 2 * div 17.09/5.43 f_78' -> f_145(div, v12:0) :|: v12:0 + (42 + div) >= 0 && div > -43 && v12:0 + (42 + div) - 2 * div >= 0 && v12:0 + (42 + div) - 2 * div < 2 && v12:0 + (42 + div) = 2 * div 17.09/5.43 f_145(v50:0, v49:0) -> f_145'(v50:0, v49:0) :|: v56:0 + v50:0 = 2 * v49:0 && v50:0 > -1 17.09/5.43 f_145'(v50:0, v49:0) -> f_145(div, v56:0) :|: v56:0 + v50:0 < 0 && v50:0 > -1 && v56:0 + v50:0 - 2 * div > -2 && v56:0 + v50:0 - 2 * div <= 0 && v56:0 + v50:0 = 2 * v49:0 17.09/5.43 f_145'(v50:0, v49:0) -> f_145(div, v56:0) :|: v56:0 + v50:0 >= 0 && v50:0 > -1 && v56:0 + v50:0 - 2 * div >= 0 && v56:0 + v50:0 - 2 * div < 2 && v56:0 + v50:0 = 2 * v49:0 17.09/5.43 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (8) 17.09/5.43 Obligation: 17.09/5.43 Rules: 17.09/5.43 f_78 -> f_78' :|: TRUE 17.09/5.43 f_78' -> f_145(x, x1) :|: x1 + (42 + x) > -85 && x > -43 && x1 + (42 + x) < 0 && x1 + (42 + x) - 2 * x > -2 && x1 + (42 + x) - 2 * x <= 0 && x1 + (42 + x) = 2 * x 17.09/5.43 f_78' -> f_145(x2, x3) :|: x3 + (42 + x2) >= 0 && x2 > -43 && x3 + (42 + x2) - 2 * x2 >= 0 && x3 + (42 + x2) - 2 * x2 < 2 && x3 + (42 + x2) = 2 * x2 17.09/5.43 f_145(v50:0, v49:0) -> f_145'(v50:0, v49:0) :|: v56:0 + v50:0 = 2 * v49:0 && v50:0 > -1 17.09/5.43 f_145'(x4, x5) -> f_145(x6, x7) :|: x7 + x4 < 0 && x4 > -1 && x7 + x4 - 2 * x6 > -2 && x7 + x4 - 2 * x6 <= 0 && x7 + x4 = 2 * x5 17.09/5.43 f_145'(x8, x9) -> f_145(x10, x11) :|: x11 + x8 >= 0 && x8 > -1 && x11 + x8 - 2 * x10 >= 0 && x11 + x8 - 2 * x10 < 2 && x11 + x8 = 2 * x9 17.09/5.43 Start term: f_78 17.09/5.43 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (9) IRS2T2 (EQUIVALENT) 17.09/5.43 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 17.09/5.43 17.09/5.43 (f_78_2,1) 17.09/5.43 (f_78'_2,2) 17.09/5.43 (f_145_2,3) 17.09/5.43 (f_145'_2,4) 17.09/5.43 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (10) 17.09/5.43 Obligation: 17.09/5.43 START: 1; 17.09/5.43 17.09/5.43 FROM: 1; 17.09/5.43 oldX0 := x0; 17.09/5.43 oldX1 := x1; 17.09/5.43 oldX2 := nondet(); 17.09/5.43 oldX3 := nondet(); 17.09/5.43 assume(0 = 0); 17.09/5.43 x0 := oldX2; 17.09/5.43 x1 := oldX3; 17.09/5.43 TO: 2; 17.09/5.43 17.09/5.43 FROM: 2; 17.09/5.43 oldX0 := x0; 17.09/5.43 oldX1 := x1; 17.09/5.43 oldX2 := nondet(); 17.09/5.43 oldX3 := nondet(); 17.09/5.43 assume(oldX3 + (42 + oldX2) > -85 && oldX2 > -43 && oldX3 + (42 + oldX2) < 0 && oldX3 + (42 + oldX2) - 2 * oldX2 > -2 && oldX3 + (42 + oldX2) - 2 * oldX2 <= 0 && oldX3 + (42 + oldX2) = 2 * oldX2); 17.09/5.43 x0 := oldX2; 17.09/5.43 x1 := oldX3; 17.09/5.43 TO: 3; 17.09/5.43 17.09/5.43 FROM: 2; 17.09/5.43 oldX0 := x0; 17.09/5.43 oldX1 := x1; 17.09/5.43 oldX2 := nondet(); 17.09/5.43 oldX3 := nondet(); 17.09/5.43 assume(oldX3 + (42 + oldX2) >= 0 && oldX2 > -43 && oldX3 + (42 + oldX2) - 2 * oldX2 >= 0 && oldX3 + (42 + oldX2) - 2 * oldX2 < 2 && oldX3 + (42 + oldX2) = 2 * oldX2); 17.09/5.43 x0 := oldX2; 17.09/5.43 x1 := oldX3; 17.09/5.43 TO: 3; 17.09/5.43 17.09/5.43 FROM: 3; 17.09/5.43 oldX0 := x0; 17.09/5.43 oldX1 := x1; 17.09/5.43 oldX2 := nondet(); 17.09/5.43 assume(oldX2 + oldX0 = 2 * oldX1 && oldX0 > -1); 17.09/5.43 x0 := oldX0; 17.09/5.43 x1 := oldX1; 17.09/5.43 TO: 4; 17.09/5.43 17.09/5.43 FROM: 4; 17.09/5.43 oldX0 := x0; 17.09/5.43 oldX1 := x1; 17.09/5.43 oldX2 := nondet(); 17.09/5.43 oldX3 := nondet(); 17.09/5.43 assume(oldX3 + oldX0 < 0 && oldX0 > -1 && oldX3 + oldX0 - 2 * oldX2 > -2 && oldX3 + oldX0 - 2 * oldX2 <= 0 && oldX3 + oldX0 = 2 * oldX1); 17.09/5.43 x0 := oldX2; 17.09/5.43 x1 := oldX3; 17.09/5.43 TO: 3; 17.09/5.43 17.09/5.43 FROM: 4; 17.09/5.43 oldX0 := x0; 17.09/5.43 oldX1 := x1; 17.09/5.43 oldX2 := nondet(); 17.09/5.43 oldX3 := nondet(); 17.09/5.43 assume(oldX3 + oldX0 >= 0 && oldX0 > -1 && oldX3 + oldX0 - 2 * oldX2 >= 0 && oldX3 + oldX0 - 2 * oldX2 < 2 && oldX3 + oldX0 = 2 * oldX1); 17.09/5.43 x0 := oldX2; 17.09/5.43 x1 := oldX3; 17.09/5.43 TO: 3; 17.09/5.43 17.09/5.43 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (11) T2 (EQUIVALENT) 17.09/5.43 No proof given by T2 17.09/5.43 ---------------------------------------- 17.09/5.43 17.09/5.43 (12) 17.09/5.43 YES 17.43/5.47 EOF