/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.c # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be disproven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 164 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 1129 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] (6) LLVM Symbolic Execution Lasso (7) Lasso2IRS [EQUIVALENT, 69 ms] (8) IntTRS (9) IRS2T2 [EQUIVALENT, 0 ms] (10) T2IntSys (11) T2 Underapproximation [COMPLETE, 1792 ms] (12) T2IntSys (13) T2 [COMPLETE, 1882 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 slt %6 0 br %7, %8, %16 8: %9 = load %x %10 = load %z %11 = add %9 %10 store %11, %x %12 = load %y %13 = mul -2 %12 store %13, %z %14 = load %y %15 = add %14 1 store %15, %y br %5 16: 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 45 rulesP rules: f_153(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_154(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: v62 < 0 f_154(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_156(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: 0 = 0 f_156(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_158(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: TRUE f_158(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_160(v52, v53, v54, v55, v56, v57, v58, v62, 1, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: 0 = 0 f_160(v52, v53, v54, v55, v56, v57, v58, v62, 1, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_161(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v63, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: 0 = 0 f_161(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v63, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_162(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: v71 = v62 + v64 f_162(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_163(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: TRUE f_163(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v63, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_164(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v63, v66, v67, v68, v69, 0, 3, 2, 4) :|: 0 = 0 f_164(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v63, v66, v67, v68, v69, 0, 3, 2, 4) -> f_165(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 2, 4) :|: v73 + 2 * v65 = 0 f_165(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 2, 4) -> f_166(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 2, 4) :|: TRUE f_166(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v63, v66, v67, v68, v69, 0, 3, 2, 4) -> f_167(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v66, v67, v68, v69, 0, 3, 2, 4) :|: 0 = 0 f_167(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v66, v67, v68, v69, 0, 3, 2, 4) -> f_168(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) :|: v75 = 1 + v65 f_168(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) -> f_169(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) :|: TRUE f_169(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) -> f_170(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) :|: TRUE f_170(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) -> f_152(v52, v53, v54, v55, v56, v57, v58, v62, 1, v64, v71, v65, v73, v75, v66, v67, v68, v69, 0, 3, 2, 4) :|: TRUE f_152(v52, v53, v54, v55, v56, v57, v58, v59, 1, v61, v62, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) -> f_153(v52, v53, v54, v55, v56, v57, v58, v62, 1, v59, v61, v63, v64, v65, v66, v67, v68, v69, 0, 3, 2, 4) :|: 0 = 0 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, v7, v2, v4, v6, v8, 3, 1, 4) :|: 1 <= v7 && v8 = 3 + v7 && 4 <= v8 f_88(v1, v3, v5, v7, v2, v4, v6, v8, 3, 1, 4) -> f_89(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_89(v1, v3, v5, v7, v2, v4, v6, v8, 0, 3, 1, 4) -> f_90(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_90(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_91(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_91(v1, v3, v5, v7, v9, v2, v4, v6, v8, 0, 3, 1, 4) -> f_92(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_92(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_93(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_93(v1, v3, v5, v7, v9, v11, v2, v4, v6, v8, 0, 3, 1, 4) -> f_94(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_94(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_95(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_95(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_96(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: TRUE f_96(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_97(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: 0 = 0 f_97(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_98(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) :|: v9 < 0 f_98(v1, v3, v5, v7, v9, v11, v13, v2, v4, v6, v8, 0, 3, 1, 4) -> f_100(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_100(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_102(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_102(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_104(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_104(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_105(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_105(v1, v3, v5, v7, v9, v11, v13, 1, v2, v4, v6, v8, 0, 3, 4) -> f_106(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: v15 = v9 + v13 f_106(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_107(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: TRUE f_107(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_108(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) :|: 0 = 0 f_108(v1, v3, v5, v7, v9, v11, v13, 1, v15, v2, v4, v6, v8, 0, 3, 4) -> f_109(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 2, 4) :|: v17 + 2 * v11 = 0 f_109(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 2, 4) -> f_110(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE f_110(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 2, 4) -> f_111(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 2, 4) :|: 0 = 0 f_111(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v2, v4, v6, v8, 0, 3, 2, 4) -> f_112(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) :|: v19 = 1 + v11 f_112(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) -> f_113(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE f_113(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) -> f_114(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE f_114(v1, v3, v5, v7, v9, v11, v13, 1, v15, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) -> f_133(v1, v3, v5, v7, v9, v11, v13, v9, 1, v13, v15, v11, v17, v19, v2, v4, v6, v8, 0, 3, 2, 4) :|: TRUE f_133(v27, v28, v29, v30, v31, v32, v33, v34, 1, v36, v37, v38, v39, v40, v41, v42, v43, v44, 0, 3, 2, 4) -> f_152(v27, v28, v29, v30, v31, v32, v33, v34, 1, v36, v37, v38, v39, v40, v41, v42, v43, v44, 0, 3, 2, 4) :|: TRUE Combined rules. Obtained 2 rulesP rules: f_153(v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v62:0, 1, v59:0, v61:0, v63:0, v64:0, v65:0, v66:0, v67:0, v68:0, v69:0, 0, 3, 2, 4) -> f_153(v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v62:0 + v64:0, 1, v62:0, v64:0, v65:0, v73:0, 1 + v65:0, v66:0, v67:0, v68:0, v69:0, 0, 3, 2, 4) :|: v73:0 + 2 * v65:0 = 0 && v62:0 < 0 f_84 -> f_153(v1:0, v3:0, v5:0, v7:0, v9:0, v11:0, v13:0, v9:0 + v13:0, 1, v9:0, v13:0, v11:0, v17:0, 1 + v11:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3 + v7:0, 0, 3, 2, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 0 && v17:0 + 2 * v11:0 = 0 && v9:0 < 0 Filtered unneeded arguments: f_153(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_153(x8, x13, x14) Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: f_153(v62:0, v64:0, v65:0) -> f_153(v62:0 + v64:0, v73:0, 1 + v65:0) :|: v73:0 + 2 * v65:0 = 0 && v62:0 < 0 f_84 -> f_153(v9:0 + v13:0, v17:0, 1 + v11:0) :|: v17:0 + 2 * v11:0 = 0 && v9:0 < 0 ---------------------------------------- (8) Obligation: Rules: f_153(v62:0, v64:0, v65:0) -> f_153(v62:0 + v64:0, v73:0, 1 + v65:0) :|: v73:0 + 2 * v65:0 = 0 && v62:0 < 0 f_84 -> f_153(v9:0 + v13:0, v17:0, 1 + v11:0) :|: v17:0 + 2 * v11:0 = 0 && v9:0 < 0 Start term: f_84 ---------------------------------------- (9) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_153_3,1) (f_84_3,2) ---------------------------------------- (10) Obligation: START: 2; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); assume(oldX3 + 2 * oldX2 = 0 && oldX0 < 0); x0 := oldX0 + oldX1; x1 := oldX3; x2 := 1 + oldX2; TO: 1; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); oldX4 := nondet(); oldX5 := nondet(); oldX6 := nondet(); assume(oldX5 + 2 * oldX6 = 0 && oldX3 < 0); x0 := oldX3 + oldX4; x1 := oldX5; x2 := 1 + oldX6; TO: 1; ---------------------------------------- (11) T2 Underapproximation (COMPLETE) Added the following guard statements: Transition 1: assume(x2 >= 0); ---------------------------------------- (12) Obligation: START: 2; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); assume(oldX3 + (x2 + x2) = 0 && x0 < 0); x0 := x0 + x1; x1 := oldX3; assume(x2 >= 0); x2 := x2 + 1; TO: 1; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := nondet(); oldX4 := nondet(); oldX5 := nondet(); oldX6 := nondet(); assume(oldX5 + (oldX6 + oldX6) = 0 && oldX3 < 0); x0 := oldX3 + oldX4; x1 := oldX5; x2 := oldX6 + 1; TO: 1; ---------------------------------------- (13) T2 (COMPLETE) Found this recurrent set for cutpoint 5: oldX3 <= -2 and -1 <= oldX6 and x1 <= -2 and 2 <= x2 and oldX3-oldX6 <= -1 and oldX6+oldX3 <= -3 and x1-oldX6 <= -1 and oldX6+x1 <= -3 and x1-oldX3 <= 0 and oldX3-x1 <= 0 and x1+oldX3 <= -4 and oldX3-x2 <= -4 and x2+oldX3 <= 0 and oldX6-x2 <= -3 and 1 <= x2+oldX6 and x1-x2 <= -4 and x2+x1 <= 0 and x0+1 <= 0 and -x2 <= 0 ---------------------------------------- (14) NO