11.56/4.22 NO 11.56/4.23 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 11.56/4.23 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.56/4.23 11.56/4.23 11.56/4.23 Termination of the given C Problem could be disproven: 11.56/4.23 11.56/4.23 (0) C Problem 11.56/4.23 (1) CToLLVMProof [EQUIVALENT, 174 ms] 11.56/4.23 (2) LLVM problem 11.56/4.23 (3) LLVMToTerminationGraphProof [EQUIVALENT, 490 ms] 11.56/4.23 (4) LLVM Symbolic Execution Graph 11.56/4.23 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 11.56/4.23 (6) LLVM Symbolic Execution Lasso 11.56/4.23 (7) Lasso2IRS [EQUIVALENT, 78 ms] 11.56/4.23 (8) IntTRS 11.56/4.23 (9) IRS2T2 [EQUIVALENT, 0 ms] 11.56/4.23 (10) T2IntSys 11.56/4.23 (11) T2 [COMPLETE, 1322 ms] 11.56/4.23 (12) NO 11.56/4.23 11.56/4.23 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (0) 11.56/4.23 Obligation: 11.56/4.23 c file /export/starexec/sandbox/benchmark/theBenchmark.c 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (1) CToLLVMProof (EQUIVALENT) 11.56/4.23 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (2) 11.56/4.23 Obligation: 11.56/4.23 LLVM Problem 11.56/4.23 11.56/4.23 Aliases: 11.56/4.23 11.56/4.23 Data layout: 11.56/4.23 11.56/4.23 "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" 11.56/4.23 11.56/4.23 Machine: 11.56/4.23 11.56/4.23 "x86_64-pc-linux-gnu" 11.56/4.23 11.56/4.23 Type definitions: 11.56/4.23 11.56/4.23 Global variables: 11.56/4.23 11.56/4.23 Function declarations and definitions: 11.56/4.23 11.56/4.23 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc 11.56/4.23 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 11.56/4.23 0: 11.56/4.23 %1 = alloca i32, align 4 11.56/4.23 %y = alloca i32, align 4 11.56/4.23 store 0, %1 11.56/4.23 %2 = call i32 (...)* @__VERIFIER_nondet_int() 11.56/4.23 store %2, %y 11.56/4.23 br %3 11.56/4.23 3: 11.56/4.23 %4 = load %y 11.56/4.23 %5 = icmp sge %4 0 11.56/4.23 br %5, %6, %9 11.56/4.23 6: 11.56/4.23 %7 = load %y 11.56/4.23 %8 = icmp sle %7 10 11.56/4.23 br %9 11.56/4.23 9: 11.56/4.23 %10 = phi [0, %3], [%8, %6] 11.56/4.23 br %10, %11, %16 11.56/4.23 11: 11.56/4.23 %12 = load %y 11.56/4.23 %13 = mul 2 %12 11.56/4.23 %14 = add %13 1 11.56/4.23 %15 = sdiv %14 2 11.56/4.23 store %15, %y 11.56/4.23 br %3 11.56/4.23 16: 11.56/4.23 ret 0 11.56/4.23 11.56/4.23 11.56/4.23 Analyze Termination of all function calls matching the pattern: 11.56/4.23 main() 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (3) LLVMToTerminationGraphProof (EQUIVALENT) 11.56/4.23 Constructed symbolic execution graph for LLVM program and proved memory safety. 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (4) 11.56/4.23 Obligation: 11.56/4.23 SE Graph 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 11.56/4.23 Converted SEGraph to 1 independent lasso. 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (6) 11.56/4.23 Obligation: 11.56/4.23 Lasso 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (7) Lasso2IRS (EQUIVALENT) 11.56/4.23 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 11.56/4.23 Generated rules. Obtained 38 rulesP rules: 11.56/4.23 f_120(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_121(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 <= v73 11.56/4.23 f_121(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_123(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 = 0 11.56/4.23 f_123(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_125(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: TRUE 11.56/4.23 f_125(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_127(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 = 0 11.56/4.23 f_127(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_129(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: v73 <= 10 11.56/4.23 f_129(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_131(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 = 0 11.56/4.23 f_131(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_133(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 = 0 11.56/4.23 f_133(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_135(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: TRUE 11.56/4.23 f_135(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_137(v66, v67, v68, v73, 1, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 = 0 11.56/4.23 f_137(v66, v67, v68, v73, 1, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_138(v66, v67, v68, v73, 1, v109, v72, v74, v75, 0, 3, 2, 10, 21, 4, 20) :|: v109 = 2 * v73 && 0 <= v109 && v109 <= 20 11.56/4.23 f_138(v66, v67, v68, v73, 1, v109, v72, v74, v75, 0, 3, 2, 10, 21, 4, 20) -> f_139(v66, v67, v68, v73, 1, v109, v110, v74, v75, 0, 3, 2, 10, 4, 20, 21) :|: v110 = 1 + v109 && 1 <= v110 && v110 <= 21 11.56/4.23 f_139(v66, v67, v68, v73, 1, v109, v110, v74, v75, 0, 3, 2, 10, 4, 20, 21) -> f_140(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 4, 20, 21) :|: v111 = v110 / 2 11.56/4.23 f_140(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 4, 20, 21) -> f_141(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 4, 20, 21) :|: TRUE 11.56/4.23 f_141(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 4, 20, 21) -> f_142(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 4, 20, 21) :|: TRUE 11.56/4.23 f_142(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 4, 20, 21) -> f_119(v66, v67, v68, v73, 1, v109, v110, v111, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: TRUE 11.56/4.23 f_119(v66, v67, v68, v69, 1, v71, v72, v73, v74, v75, 0, 3, 2, 10, 20, 21, 4) -> f_120(v66, v67, v68, v73, 1, v69, v71, v72, v74, v75, 0, 3, 2, 10, 20, 21, 4) :|: 0 = 0 11.56/4.23 f_66 -> f_67(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 11.56/4.23 f_67(v1, v2, 3, 1, 4) -> f_68(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 11.56/4.23 f_68(v1, v3, v2, v4, 3, 1, 4) -> f_69(v1, v3, v2, v4, 0, 3, 1, 4) :|: TRUE 11.56/4.23 f_69(v1, v3, v2, v4, 0, 3, 1, 4) -> f_70(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE 11.56/4.23 f_70(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_71(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE 11.56/4.23 f_71(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_72(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: TRUE 11.56/4.23 f_72(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_73(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 = 0 11.56/4.23 f_73(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_74(v1, v3, v5, v2, v4, 0, 3, 1, 4) :|: 0 <= v5 11.56/4.23 f_74(v1, v3, v5, v2, v4, 0, 3, 1, 4) -> f_76(v1, v3, v5, 1, v2, v4, 0, 3, 4) :|: 0 = 0 11.56/4.23 f_76(v1, v3, v5, 1, v2, v4, 0, 3, 4) -> f_78(v1, v3, v5, 1, v2, v4, 0, 3, 4) :|: TRUE 11.56/4.23 f_78(v1, v3, v5, 1, v2, v4, 0, 3, 4) -> f_80(v1, v3, v5, 1, v2, v4, 0, 3, 4) :|: 0 = 0 11.56/4.23 f_80(v1, v3, v5, 1, v2, v4, 0, 3, 4) -> f_82(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) :|: v5 <= 10 11.56/4.23 f_82(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) -> f_84(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) :|: 0 = 0 11.56/4.23 f_84(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) -> f_86(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) :|: 0 = 0 11.56/4.23 f_86(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) -> f_88(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) :|: TRUE 11.56/4.23 f_88(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) -> f_90(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) :|: 0 = 0 11.56/4.23 f_90(v1, v3, v5, 1, v2, v4, 0, 3, 4, 10) -> f_91(v1, v3, v5, 1, v9, v2, v4, 0, 3, 2, 4, 10, 20) :|: v9 = 2 * v5 && 0 <= v9 && v9 <= 20 11.56/4.23 f_91(v1, v3, v5, 1, v9, v2, v4, 0, 3, 2, 4, 10, 20) -> f_92(v1, v3, v5, 1, v9, v10, v2, v4, 0, 3, 2, 4, 10, 20, 21) :|: v10 = 1 + v9 && 1 <= v10 && v10 <= 21 11.56/4.23 f_92(v1, v3, v5, 1, v9, v10, v2, v4, 0, 3, 2, 4, 10, 20, 21) -> f_93(v1, v3, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 4, 10, 20, 21) :|: v11 = v10 / 2 11.56/4.23 f_93(v1, v3, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 4, 10, 20, 21) -> f_94(v1, v3, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 4, 10, 20, 21) :|: TRUE 11.56/4.23 f_94(v1, v3, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 4, 10, 20, 21) -> f_95(v1, v3, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 4, 10, 20, 21) :|: TRUE 11.56/4.23 f_95(v1, v3, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 4, 10, 20, 21) -> f_119(v1, v3, v5, v5, 1, v9, v10, v11, v2, v4, 0, 3, 2, 10, 20, 21, 4) :|: TRUE 11.56/4.23 Combined rules. Obtained 2 rulesP rules: 11.56/4.23 f_120(v66:0, v67:0, v68:0, v73:0, 1, v69:0, v71:0, v72:0, v74:0, v75:0, 0, 3, 2, 10, 20, 21, 4) -> f_120(v66:0, v67:0, v68:0, v111:0, 1, v73:0, 2 * v73:0, 1 + 2 * v73:0, v74:0, v75:0, 0, 3, 2, 10, 20, 21, 4) :|: v73:0 > -1 && v73:0 < 11 && 2 * v73:0 > -1 && 21 > 2 * v73:0 && v111:0 = (1 + 2 * v73:0) / 2 11.56/4.23 f_66 -> f_120(v1:0, v3:0, v5:0, v11:0, 1, v5:0, 2 * v5:0, 1 + 2 * v5:0, 3 + v1:0, 3 + v3:0, 0, 3, 2, 10, 20, 21, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > -1 && v5:0 < 11 && 2 * v5:0 > -1 && 21 > 2 * v5:0 && v11:0 = (1 + 2 * v5:0) / 2 11.56/4.23 Filtered unneeded arguments: 11.56/4.23 f_120(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_120(x3, x4, x6, x7, x8) 11.56/4.23 Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules: 11.56/4.23 f_120(v68:0, v73:0, v69:0, v71:0, v72:0) -> f_120'(v68:0, v73:0, v69:0, v71:0, v72:0) :|: v73:0 < 11 && v73:0 > -1 && 21 > 2 * v73:0 && 2 * v73:0 > -1 11.56/4.23 f_120'(v68:0, v73:0, v69:0, v71:0, v72:0) -> f_120(v68:0, div, v73:0, 2 * v73:0, 1 + 2 * v73:0) :|: 2 * v73:0 > -1 && v73:0 < 11 && v73:0 > -1 && 21 > 2 * v73:0 && 2 > 1 + 2 * v73:0 - 2 * div && 1 + 2 * v73:0 - 2 * div >= 0 11.56/4.23 f_66 -> f_66' :|: TRUE 11.56/4.23 f_66' -> f_120(v5:0, div, v5:0, 2 * v5:0, 1 + 2 * v5:0) :|: 2 * v5:0 > -1 && v5:0 < 11 && v5:0 > -1 && 21 > 2 * v5:0 && 2 > 1 + 2 * v5:0 - 2 * div && 1 + 2 * v5:0 - 2 * div >= 0 11.56/4.23 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (8) 11.56/4.23 Obligation: 11.56/4.23 Rules: 11.56/4.23 f_120(v68:0, v73:0, v69:0, v71:0, v72:0) -> f_120'(v68:0, v73:0, v69:0, v71:0, v72:0) :|: v73:0 < 11 && v73:0 > -1 && 21 > 2 * v73:0 && 2 * v73:0 > -1 11.56/4.23 f_120'(x, x1, x2, x3, x4) -> f_120(x, x5, x1, 2 * x1, 1 + 2 * x1) :|: 2 * x1 > -1 && x1 < 11 && x1 > -1 && 21 > 2 * x1 && 2 > 1 + 2 * x1 - 2 * x5 && 1 + 2 * x1 - 2 * x5 >= 0 11.56/4.23 f_66 -> f_66' :|: TRUE 11.56/4.23 f_66' -> f_120(x6, x7, x6, 2 * x6, 1 + 2 * x6) :|: 2 * x6 > -1 && x6 < 11 && x6 > -1 && 21 > 2 * x6 && 2 > 1 + 2 * x6 - 2 * x7 && 1 + 2 * x6 - 2 * x7 >= 0 11.56/4.23 Start term: f_66 11.56/4.23 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (9) IRS2T2 (EQUIVALENT) 11.56/4.23 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 11.56/4.23 11.56/4.23 (f_120_5,1) 11.56/4.23 (f_120'_5,2) 11.56/4.23 (f_66_5,3) 11.56/4.23 (f_66'_5,4) 11.56/4.23 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (10) 11.56/4.23 Obligation: 11.56/4.23 START: 3; 11.56/4.23 11.56/4.23 FROM: 1; 11.56/4.23 oldX0 := x0; 11.56/4.23 oldX1 := x1; 11.56/4.23 oldX2 := x2; 11.56/4.23 oldX3 := x3; 11.56/4.23 oldX4 := x4; 11.56/4.23 assume(oldX1 < 11 && oldX1 > -1 && 21 > 2 * oldX1 && 2 * oldX1 > -1); 11.56/4.23 x0 := oldX0; 11.56/4.23 x1 := oldX1; 11.56/4.23 x2 := oldX2; 11.56/4.23 x3 := oldX3; 11.56/4.23 x4 := oldX4; 11.56/4.23 TO: 2; 11.56/4.23 11.56/4.23 FROM: 2; 11.56/4.23 oldX0 := x0; 11.56/4.23 oldX1 := x1; 11.56/4.23 oldX2 := x2; 11.56/4.23 oldX3 := x3; 11.56/4.23 oldX4 := x4; 11.56/4.23 oldX5 := nondet(); 11.56/4.23 assume(2 * oldX1 > -1 && oldX1 < 11 && oldX1 > -1 && 21 > 2 * oldX1 && 2 > 1 + 2 * oldX1 - 2 * oldX5 && 1 + 2 * oldX1 - 2 * oldX5 >= 0); 11.56/4.23 x0 := oldX0; 11.56/4.23 x1 := oldX5; 11.56/4.23 x2 := oldX1; 11.56/4.23 x3 := 2 * oldX1; 11.56/4.23 x4 := 1 + 2 * oldX1; 11.56/4.23 TO: 1; 11.56/4.23 11.56/4.23 FROM: 3; 11.56/4.23 oldX0 := x0; 11.56/4.23 oldX1 := x1; 11.56/4.23 oldX2 := x2; 11.56/4.23 oldX3 := x3; 11.56/4.23 oldX4 := x4; 11.56/4.23 oldX5 := nondet(); 11.56/4.23 oldX6 := nondet(); 11.56/4.23 oldX7 := nondet(); 11.56/4.23 oldX8 := nondet(); 11.56/4.23 oldX9 := nondet(); 11.56/4.23 assume(0 = 0); 11.56/4.23 x0 := oldX5; 11.56/4.23 x1 := oldX6; 11.56/4.23 x2 := oldX7; 11.56/4.23 x3 := oldX8; 11.56/4.23 x4 := oldX9; 11.56/4.23 TO: 4; 11.56/4.23 11.56/4.23 FROM: 4; 11.56/4.23 oldX0 := x0; 11.56/4.23 oldX1 := x1; 11.56/4.23 oldX2 := x2; 11.56/4.23 oldX3 := x3; 11.56/4.23 oldX4 := x4; 11.56/4.23 oldX5 := nondet(); 11.56/4.23 oldX6 := nondet(); 11.56/4.23 assume(2 * oldX5 > -1 && oldX5 < 11 && oldX5 > -1 && 21 > 2 * oldX5 && 2 > 1 + 2 * oldX5 - 2 * oldX6 && 1 + 2 * oldX5 - 2 * oldX6 >= 0); 11.56/4.23 x0 := oldX5; 11.56/4.23 x1 := oldX6; 11.56/4.23 x2 := oldX5; 11.56/4.23 x3 := 2 * oldX5; 11.56/4.23 x4 := 1 + 2 * oldX5; 11.56/4.23 TO: 1; 11.56/4.23 11.56/4.23 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (11) T2 (COMPLETE) 11.56/4.23 Found this recurrent set for cutpoint 5: oldX5 == 0 and oldX6 == 0 and x1 == 0 11.56/4.23 11.56/4.23 ---------------------------------------- 11.56/4.23 11.56/4.23 (12) 11.56/4.23 NO 11.69/4.26 EOF