NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.c # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given C Problem could be disproven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 175 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 1083 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 1 ms] (6) LLVM Symbolic Execution Lasso (7) Lasso2IRS [EQUIVALENT, 0 ms] (8) IntTRS (9) IRS2T2 [EQUIVALENT, 0 ms] (10) T2IntSys (11) T2 Underapproximation [COMPLETE, 1822 ms] (12) T2IntSys (13) T2 [COMPLETE, 1022 ms] (14) NO ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox2/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 %z = alloca i32, align 4 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() store %2, %x %3 = call i32 @__VERIFIER_nondet_int() store %3, %y %4 = call i32 @__VERIFIER_nondet_int() store %4, %z br %5 5: %6 = load %x %7 = icmp sgt %6 0 br %7, %8, %18 8: %9 = load %x %10 = load %y %11 = add %9 %10 store %11, %x %12 = load %y %13 = load %z %14 = add %12 %13 store %14, %y %15 = load %z %16 = load %x %17 = add %15 %16 store %17, %z br %5 18: ret 0 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) SymbolicExecutionGraphToLassoProof (EQUIVALENT) Converted SEGraph to 1 independent lasso. ---------------------------------------- (6) Obligation: Lasso ---------------------------------------- (7) Lasso2IRS (EQUIVALENT) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 48 rulesP rules: f_144(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) -> f_145(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) :|: 0 < v37 f_145(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) -> f_147(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_147(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) -> f_149(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) :|: TRUE f_149(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) -> f_151(v27, v28, v29, v30, v31, v32, v33, v37, 1, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_151(v27, v28, v29, v30, v31, v32, v33, v37, 1, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) -> f_152(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v36, v38, v40, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_152(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v36, v38, v40, v41, v42, v43, v44, 0, 3, 4) -> f_153(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v36, v38, v40, v41, v42, v43, v44, 0, 3, 4) :|: v46 = v37 + v39 f_153(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v36, v38, v40, v41, v42, v43, v44, 0, 3, 4) -> f_154(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v36, v38, v40, v41, v42, v43, v44, 0, 3, 4) :|: TRUE f_154(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v36, v38, v40, v41, v42, v43, v44, 0, 3, 4) -> f_155(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v38, v40, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_155(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v38, v40, v41, v42, v43, v44, 0, 3, 4) -> f_156(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v38, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_156(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v38, v41, v42, v43, v44, 0, 3, 4) -> f_157(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v38, v41, v42, v43, v44, 0, 3, 4) :|: v48 = v39 + v40 f_157(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v38, v41, v42, v43, v44, 0, 3, 4) -> f_158(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v38, v41, v42, v43, v44, 0, 3, 4) :|: TRUE f_158(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v38, v41, v42, v43, v44, 0, 3, 4) -> f_159(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_159(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v41, v42, v43, v44, 0, 3, 4) -> f_160(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_160(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v41, v42, v43, v44, 0, 3, 4) -> f_161(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) :|: v50 = v40 + v46 f_161(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) -> f_162(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) :|: TRUE f_162(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) -> f_163(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) :|: TRUE f_163(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) -> f_143(v27, v28, v29, v30, v31, v32, v33, v37, 1, v39, v46, v40, v48, v50, v41, v42, v43, v44, 0, 3, 4) :|: TRUE f_143(v27, v28, v29, v30, v31, v32, v33, v34, 1, v36, v37, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) -> f_144(v27, v28, v29, v30, v31, v32, v33, v37, 1, v34, v36, v38, v39, v40, v41, v42, v43, v44, 0, 3, 4) :|: 0 = 0 f_90 -> f_91(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 f_91(v1, v2, 3, 1, 4) -> f_92(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 f_92(v1, v3, v2, v4, 3, 1, 4) -> f_93(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 f_93(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_94(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 f_94(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_95(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_95(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_96(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_97(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_97(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_98(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_98(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_99(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_99(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_100(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_100(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_101(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_101(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_102(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_102(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_103(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 f_103(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_104(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 < v9 f_104(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_106(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_106(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_108(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_108(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_110(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_110(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_111(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_111(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_112(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: v15 = v9 + v11 f_112(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_113(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_113(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_114(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_114(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_115(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_115(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_116(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) :|: v17 = v11 + v13 f_116(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) -> f_117(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_117(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) -> f_118(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_118(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) -> f_119(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_119(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 4) -> f_120(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 4) :|: v19 = v13 + v15 f_120(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 4) -> f_121(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_121(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 4) -> f_122(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_122(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 4) -> f_143(v1, v3, v5, v7, v9, v11, v13, v9, 1, v11, v15, v13, v17, v19, v2, v4, v6, v8, 0, 3, 4) :|: TRUE Combined rules. Obtained 2 rulesP rules: f_144(v27:0, v28:0, v29:0, v30:0, v31:0, v32:0, v33:0, v37:0, 1, v34:0, v36:0, v38:0, v39:0, v40:0, v41:0, v42:0, v43:0, v44:0, 0, 3, 4) -> f_144(v27:0, v28:0, v29:0, v30:0, v31:0, v32:0, v33:0, v37:0 + v39:0, 1, v37:0, v39:0, v40:0, v39:0 + v40:0, v40:0 + (v37:0 + v39:0), v41:0, v42:0, v43:0, v44:0, 0, 3, 4) :|: v37:0 > 0 f_90 -> f_144(v1:0, v3:0, v5:0, v7:0, v9:0, v11:0, v13:0, v9:0 + v11:0, 1, v9:0, v11:0, v13:0, v11:0 + v13:0, v13:0 + (v9:0 + v11:0), 3 + v1:0, 3 + v3:0, 3 + v5:0, 3 + v7:0, 0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v9:0 > 0 Filtered unneeded arguments: f_144(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) -> f_144(x8, x13, x14) Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: f_144(v37:0, v39:0, v40:0) -> f_144(v37:0 + v39:0, v39:0 + v40:0, v40:0 + (v37:0 + v39:0)) :|: v37:0 > 0 f_90 -> f_144(v9:0 + v11:0, v11:0 + v13:0, v13:0 + (v9:0 + v11:0)) :|: v9:0 > 0 ---------------------------------------- (8) Obligation: Rules: f_144(v37:0, v39:0, v40:0) -> f_144(v37:0 + v39:0, v39:0 + v40:0, v40:0 + (v37:0 + v39:0)) :|: v37:0 > 0 f_90 -> f_144(v9:0 + v11:0, v11:0 + v13:0, v13:0 + (v9:0 + v11:0)) :|: v9:0 > 0 Start term: f_90 ---------------------------------------- (9) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_144_3,1) (f_90_3,2) ---------------------------------------- (10) Obligation: START: 2; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; assume(oldX0 > 0); x0 := oldX0 + oldX1; x1 := oldX1 + oldX2; x2 := oldX2 + (oldX0 + oldX1); TO: 1; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); oldX4 := nondet(); oldX5 := nondet(); assume(oldX3 > 0); x0 := oldX3 + oldX4; x1 := oldX4 + oldX5; x2 := oldX5 + (oldX3 + oldX4); TO: 1; ---------------------------------------- (11) T2 Underapproximation (COMPLETE) Added the following guard statements: Transition 1: assume(x1 >= 0); assume(x2 >= 0); ---------------------------------------- (12) Obligation: START: 2; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; assume(x0 > 0); x0 := x0 + x1; assume(x1 >= 0); x1 := x1 + x2; assume(x2 >= 0); x2 := x2 + (oldX0 + oldX1); TO: 1; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); oldX4 := nondet(); oldX5 := nondet(); assume(oldX3 > 0); x0 := oldX3 + oldX4; x1 := oldX4 + oldX5; x2 := oldX5 + (oldX3 + oldX4); TO: 1; ---------------------------------------- (13) T2 (COMPLETE) Found this recurrent set for cutpoint 5: 1 <= oldX3 and -x0+1 <= 0 and -x1 <= 0 and -x2 <= 0 ---------------------------------------- (14) NO