26.59/7.66 NO 26.59/7.67 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 26.59/7.67 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.59/7.67 26.59/7.67 26.59/7.67 Termination of the given C Problem could be disproven: 26.59/7.67 26.59/7.67 (0) C Problem 26.59/7.67 (1) CToLLVMProof [EQUIVALENT, 171 ms] 26.59/7.67 (2) LLVM problem 26.59/7.67 (3) LLVMToTerminationGraphProof [EQUIVALENT, 895 ms] 26.59/7.67 (4) LLVM Symbolic Execution Graph 26.59/7.67 (5) SymbolicExecutionGraphToLassoProof [EQUIVALENT, 0 ms] 26.59/7.67 (6) LLVM Symbolic Execution Lasso 26.59/7.67 (7) Lasso2IRS [EQUIVALENT, 13 ms] 26.59/7.67 (8) IntTRS 26.59/7.67 (9) IRS2T2 [EQUIVALENT, 0 ms] 26.59/7.67 (10) T2IntSys 26.59/7.67 (11) T2 Underapproximation [COMPLETE, 1433 ms] 26.59/7.67 (12) T2IntSys 26.59/7.67 (13) T2 [COMPLETE, 1073 ms] 26.59/7.67 (14) NO 26.59/7.67 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (0) 26.59/7.67 Obligation: 26.59/7.67 c file /export/starexec/sandbox/benchmark/theBenchmark.c 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (1) CToLLVMProof (EQUIVALENT) 26.59/7.67 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (2) 26.59/7.67 Obligation: 26.59/7.67 LLVM Problem 26.59/7.67 26.59/7.67 Aliases: 26.59/7.67 26.59/7.67 Data layout: 26.59/7.67 26.59/7.67 "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" 26.59/7.67 26.59/7.67 Machine: 26.59/7.67 26.59/7.67 "x86_64-pc-linux-gnu" 26.59/7.67 26.59/7.67 Type definitions: 26.59/7.67 26.59/7.67 Global variables: 26.59/7.67 26.59/7.67 Function declarations and definitions: 26.59/7.67 26.59/7.67 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 26.59/7.67 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 26.59/7.67 0: 26.59/7.67 %1 = alloca i32, align 4 26.59/7.67 %x = alloca i32, align 4 26.59/7.67 %y = alloca i32, align 4 26.59/7.67 store 0, %1 26.59/7.67 %2 = call i32 @__VERIFIER_nondet_int() 26.59/7.67 store %2, %x 26.59/7.67 %3 = call i32 @__VERIFIER_nondet_int() 26.59/7.67 store %3, %y 26.59/7.67 br %4 26.59/7.67 4: 26.59/7.67 %5 = load %x 26.59/7.67 %6 = icmp slt %5 0 26.59/7.67 br %6, %7, %13 26.59/7.67 7: 26.59/7.67 %8 = load %x 26.59/7.67 %9 = load %y 26.59/7.67 %10 = add %8 %9 26.59/7.67 store %10, %x 26.59/7.67 %11 = load %y 26.59/7.67 %12 = sub %11 1 26.59/7.67 store %12, %y 26.59/7.67 br %4 26.59/7.67 13: 26.59/7.67 ret 0 26.59/7.67 26.59/7.67 26.59/7.67 Analyze Termination of all function calls matching the pattern: 26.59/7.67 main() 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (3) LLVMToTerminationGraphProof (EQUIVALENT) 26.59/7.67 Constructed symbolic execution graph for LLVM program and proved memory safety. 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (4) 26.59/7.67 Obligation: 26.59/7.67 SE Graph 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (5) SymbolicExecutionGraphToLassoProof (EQUIVALENT) 26.59/7.67 Converted SEGraph to 1 independent lasso. 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (6) 26.59/7.67 Obligation: 26.59/7.67 Lasso 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (7) Lasso2IRS (EQUIVALENT) 26.59/7.67 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 26.59/7.67 Generated rules. Obtained 36 rulesP rules: 26.59/7.67 f_123(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_124(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: v45 < 0 26.59/7.67 f_124(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_126(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_126(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_128(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: TRUE 26.59/7.67 f_128(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) -> f_130(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_130(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 4) -> f_131(v37, v38, v39, v40, v41, v45, 1, v46, v44, v47, v48, v49, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_131(v37, v38, v39, v40, v41, v45, 1, v46, v44, v47, v48, v49, 0, 3, 4) -> f_132(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) :|: v51 = v45 + v46 26.59/7.67 f_132(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) -> f_133(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) :|: TRUE 26.59/7.67 f_133(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 4) -> f_134(v37, v38, v39, v40, v41, v45, 1, v46, v51, v47, v48, v49, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_134(v37, v38, v39, v40, v41, v45, 1, v46, v51, v47, v48, v49, 0, 3, 4) -> f_135(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: 1 + v53 = v46 26.59/7.67 f_135(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) -> f_136(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: TRUE 26.59/7.67 f_136(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) -> f_137(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: TRUE 26.59/7.67 f_137(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) -> f_122(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 4) :|: TRUE 26.59/7.67 f_122(v37, v38, v39, v40, v41, v42, 1, v44, v45, v46, v47, v48, v49, 0, 3, 4) -> f_123(v37, v38, v39, v40, v41, v45, 1, v42, v44, v46, v47, v48, v49, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_66 -> f_67(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 26.59/7.67 f_67(v1, v2, 3, 1, 4) -> f_68(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 26.59/7.67 f_68(v1, v3, v2, v4, 3, 1, 4) -> f_69(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 26.59/7.67 f_69(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_70(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 26.59/7.67 f_70(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_71(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 26.59/7.67 f_71(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_72(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 26.59/7.67 f_72(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 26.59/7.67 f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_74(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 26.59/7.67 f_74(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_75(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE 26.59/7.67 f_75(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_76(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0 26.59/7.67 f_76(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_77(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: v7 < 0 26.59/7.67 f_77(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_79(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_79(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_81(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: TRUE 26.59/7.67 f_81(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_83(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_83(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_84(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_84(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4) -> f_85(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: v11 = v7 + v9 26.59/7.67 f_85(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_86(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: TRUE 26.59/7.67 f_86(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_87(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) :|: 0 = 0 26.59/7.67 f_87(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4) -> f_88(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: 1 + v13 = v9 26.59/7.67 f_88(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_89(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE 26.59/7.67 f_89(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_90(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE 26.59/7.67 f_90(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4) -> f_106(v1, v3, v5, v7, v9, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 4) :|: TRUE 26.59/7.67 f_106(v19, v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, 0, 3, 4) -> f_122(v19, v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, 0, 3, 4) :|: TRUE 26.59/7.67 Combined rules. Obtained 2 rulesP rules: 26.59/7.67 f_123(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0, 1, v42:0, v44:0, 1 + v53:0, v47:0, v48:0, v49:0, 0, 3, 4) -> f_123(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0 + (1 + v53:0), 1, v45:0, 1 + v53:0, v53:0, v47:0, v48:0, v49:0, 0, 3, 4) :|: v45:0 < 0 26.59/7.67 f_66 -> f_123(v1:0, v3:0, v5:0, v7:0, 1 + v13:0, v7:0 + (1 + v13:0), 1, v7:0, 1 + v13:0, v13:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 0, 3, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 < 0 26.59/7.67 Filtered unneeded arguments: 26.59/7.67 f_123(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_123(x6, x10) 26.59/7.67 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 26.59/7.67 f_123(v45:0, sum~cons_1~v53:0) -> f_123(v45:0 + (1 + v53:0), v53:0) :|: v45:0 < 0 && sum~cons_1~v53:0 = 1 + v53:0 26.59/7.67 f_66 -> f_123(v7:0 + (1 + v13:0), v13:0) :|: v7:0 < 0 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (8) 26.59/7.67 Obligation: 26.59/7.67 Rules: 26.59/7.67 f_123(v45:0, sum~cons_1~v53:0) -> f_123(v45:0 + (1 + v53:0), v53:0) :|: v45:0 < 0 && sum~cons_1~v53:0 = 1 + v53:0 26.59/7.67 f_66 -> f_123(v7:0 + (1 + v13:0), v13:0) :|: v7:0 < 0 26.59/7.67 Start term: f_66 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (9) IRS2T2 (EQUIVALENT) 26.59/7.67 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 26.59/7.67 26.59/7.67 (f_123_2,1) 26.59/7.67 (f_66_2,2) 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (10) 26.59/7.67 Obligation: 26.59/7.67 START: 2; 26.59/7.67 26.59/7.67 FROM: 1; 26.59/7.67 oldX0 := x0; 26.59/7.67 oldX1 := x1; 26.59/7.67 oldX2 := oldX1 - 1; 26.59/7.67 assume(oldX0 < 0 && oldX1 = 1 + oldX2); 26.59/7.67 x0 := oldX0 + (1 + oldX2); 26.59/7.67 x1 := oldX1 - 1; 26.59/7.67 TO: 1; 26.59/7.67 26.59/7.67 FROM: 2; 26.59/7.67 oldX0 := x0; 26.59/7.67 oldX1 := x1; 26.59/7.67 oldX2 := nondet(); 26.59/7.67 oldX3 := nondet(); 26.59/7.67 assume(oldX2 < 0); 26.59/7.67 x0 := oldX2 + (1 + oldX3); 26.59/7.67 x1 := oldX3; 26.59/7.67 TO: 1; 26.59/7.67 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (11) T2 Underapproximation (COMPLETE) 26.59/7.67 Added the following guard statements: 26.59/7.67 26.59/7.67 26.59/7.67 26.59/7.67 Transition 1: 26.59/7.67 assume(x1 <= 0); 26.59/7.67 26.59/7.67 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (12) 26.59/7.67 Obligation: 26.59/7.67 START: 2; 26.59/7.67 26.59/7.67 FROM: 1; 26.59/7.67 oldX0 := x0; 26.59/7.67 oldX1 := x1; 26.59/7.67 oldX2 := x1 - 1; 26.59/7.67 assume(x0 < 0 && x1 = 1 + (x1 - 1)); 26.59/7.67 x0 := x0 + (x1 - 0); 26.59/7.67 assume(x1 <= 0); 26.59/7.67 x1 := x1 - 1; 26.59/7.67 TO: 1; 26.59/7.67 26.59/7.67 FROM: 2; 26.59/7.67 oldX0 := x0; 26.59/7.67 oldX1 := x1; 26.59/7.67 oldX2 := nondet(); 26.59/7.67 oldX3 := nondet(); 26.59/7.67 assume(oldX2 < 0); 26.59/7.67 x0 := oldX2 + (oldX3 + 1); 26.59/7.67 x1 := oldX3; 26.59/7.67 TO: 1; 26.59/7.67 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (13) T2 (COMPLETE) 26.59/7.67 Found this recurrent set for cutpoint 5: oldX2 <= -1 and x0-oldX3 <= 0 and x1-oldX3 <= 0 and x0-x1 <= 0 and x0+1 <= 0 and x1 <= 0 26.59/7.67 26.59/7.67 ---------------------------------------- 26.59/7.67 26.59/7.67 (14) 26.59/7.67 NO 26.95/7.71 EOF