18.04/5.73 YES 19.47/7.29 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 19.47/7.29 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.47/7.29 19.47/7.29 19.47/7.29 Termination of the given C Problem could be proven: 19.47/7.29 19.47/7.29 (0) C Problem 19.47/7.29 (1) CToLLVMProof [EQUIVALENT, 175 ms] 19.47/7.29 (2) LLVM problem 19.47/7.29 (3) LLVMToTerminationGraphProof [EQUIVALENT, 1400 ms] 19.47/7.29 (4) LLVM Symbolic Execution Graph 19.47/7.29 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 19.47/7.29 (6) LLVM Symbolic Execution SCC 19.47/7.29 (7) SCC2IRS [SOUND, 95 ms] 19.47/7.29 (8) IntTRS 19.47/7.29 (9) IRS2T2 [EQUIVALENT, 0 ms] 19.47/7.29 (10) T2IntSys 19.47/7.29 (11) T2 [EQUIVALENT, 1505 ms] 19.47/7.29 (12) YES 19.47/7.29 19.47/7.29 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (0) 19.47/7.29 Obligation: 19.47/7.29 c file /export/starexec/sandbox/benchmark/theBenchmark.c 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (1) CToLLVMProof (EQUIVALENT) 19.47/7.29 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (2) 19.47/7.29 Obligation: 19.47/7.29 LLVM Problem 19.47/7.29 19.47/7.29 Aliases: 19.47/7.29 19.47/7.29 Data layout: 19.47/7.29 19.47/7.29 "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" 19.47/7.29 19.47/7.29 Machine: 19.47/7.29 19.47/7.29 "x86_64-pc-linux-gnu" 19.47/7.29 19.47/7.29 Type definitions: 19.47/7.29 19.47/7.29 Global variables: 19.47/7.29 19.47/7.29 Function declarations and definitions: 19.47/7.29 19.47/7.29 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 19.47/7.29 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 19.47/7.29 0: 19.47/7.29 %1 = alloca i32, align 4 19.47/7.29 %x = alloca *i32, align 8 19.47/7.29 %y = alloca *i32, align 8 19.47/7.29 %z = alloca *i32, align 8 19.47/7.29 store 0, %1 19.47/7.29 %2 = alloca i8, numElementsLit: 4 19.47/7.29 %3 = bitcast *i8 %2 to *i32 19.47/7.29 store %3, %x 19.47/7.29 %4 = alloca i8, numElementsLit: 4 19.47/7.29 %5 = bitcast *i8 %4 to *i32 19.47/7.29 store %5, %y 19.47/7.29 %6 = alloca i8, numElementsLit: 4 19.47/7.29 %7 = bitcast *i8 %6 to *i32 19.47/7.29 store %7, %z 19.47/7.29 %8 = call i32 @__VERIFIER_nondet_int() 19.47/7.29 %9 = load %x 19.47/7.29 store %8, %9 19.47/7.29 %10 = call i32 @__VERIFIER_nondet_int() 19.47/7.29 %11 = load %y 19.47/7.29 store %10, %11 19.47/7.29 %12 = call i32 @__VERIFIER_nondet_int() 19.47/7.29 %13 = load %z 19.47/7.29 store %12, %13 19.47/7.29 br %14 19.47/7.29 14: 19.47/7.29 %15 = load %x 19.47/7.29 %16 = load %15 19.47/7.29 %17 = icmp sgt %16 0 19.47/7.29 br %17, %18, %33 19.47/7.29 18: 19.47/7.29 %19 = load %x 19.47/7.29 %20 = load %19 19.47/7.29 %21 = load %y 19.47/7.29 %22 = load %21 19.47/7.29 %23 = add %20 %22 19.47/7.29 %24 = load %x 19.47/7.29 store %23, %24 19.47/7.29 %25 = load %z 19.47/7.29 %26 = load %25 19.47/7.29 %27 = load %y 19.47/7.29 store %26, %27 19.47/7.29 %28 = load %z 19.47/7.29 %29 = load %28 19.47/7.29 %30 = sub 0 %29 19.47/7.29 %31 = sub %30 1 19.47/7.29 %32 = load %z 19.47/7.29 store %31, %32 19.47/7.29 br %14 19.47/7.29 33: 19.47/7.29 %34 = load %1 19.47/7.29 ret %34 19.47/7.29 19.47/7.29 19.47/7.29 Analyze Termination of all function calls matching the pattern: 19.47/7.29 main() 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (3) LLVMToTerminationGraphProof (EQUIVALENT) 19.47/7.29 Constructed symbolic execution graph for LLVM program and proved memory safety. 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (4) 19.47/7.29 Obligation: 19.47/7.29 SE Graph 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (5) SymbolicExecutionGraphToSCCProof (SOUND) 19.47/7.29 Splitted symbolic execution graph to 1 SCC. 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (6) 19.47/7.29 Obligation: 19.47/7.29 SCC 19.47/7.29 ---------------------------------------- 19.47/7.29 19.47/7.29 (7) SCC2IRS (SOUND) 19.47/7.30 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 19.47/7.30 Generated rules. Obtained 24 rulesP rules: 19.47/7.30 f_227(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v46, 1, v48, v49, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_228(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_228(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_229(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 < v49 19.47/7.30 f_229(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_231(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_231(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_233(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE 19.47/7.30 f_233(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_235(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_235(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v46, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_237(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_237(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_238(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_238(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v48, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_239(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_239(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_240(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: v61 = v49 + v50 19.47/7.30 f_240(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_241(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_241(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_242(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE 19.47/7.30 f_242(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_243(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_243(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_244(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_244(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_245(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_245(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_246(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE 19.47/7.30 f_246(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_247(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_247(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_248(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_248(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v51, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_249(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: v64 + v52 = 0 19.47/7.30 f_249(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_250(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 1 + v65 = v64 19.47/7.30 f_250(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_251(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 f_251(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_252(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE 19.47/7.30 f_252(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_253(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE 19.47/7.30 f_253(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_226(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v49, 1, v50, v61, v52, v64, v65, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: TRUE 19.47/7.30 f_226(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v46, 1, v48, v49, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) -> f_227(v36, v37, v38, v39, v40, v41, v42, v43, v44, v45, v46, 1, v48, v49, v50, v51, v52, v53, v54, v55, v56, v57, v58, v59, 0, 3, 7, 4, 8) :|: 0 = 0 19.47/7.30 Combined rules. Obtained 1 rulesP rules: 19.47/7.30 f_227(v36:0, v37:0, v38:0, v39:0, v40:0, v41:0, v42:0, v43:0, v44:0, v45:0, v46:0, 1, v48:0, v49:0, v50:0, v51:0, v52:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v59:0, 0, 3, 7, 4, 8) -> f_227(v36:0, v37:0, v38:0, v39:0, v40:0, v41:0, v42:0, v43:0, v44:0, v45:0, v49:0, 1, v50:0, v49:0 + v50:0, v52:0, 1 + v65:0, v65:0, v53:0, v54:0, v55:0, v56:0, v57:0, v58:0, v59:0, 0, 3, 7, 4, 8) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0 19.47/7.30 Filtered unneeded arguments: 19.47/7.30 f_227(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29) -> f_227(x14, x15, x17) 19.47/7.30 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 19.47/7.30 f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0 19.47/7.30 19.47/7.30 ---------------------------------------- 19.47/7.30 19.47/7.30 (8) 19.47/7.30 Obligation: 19.47/7.30 Rules: 19.47/7.30 f_227(v49:0, v50:0, v52:0) -> f_227(v49:0 + v50:0, v52:0, v65:0) :|: 1 + v65:0 + v52:0 = 0 && v49:0 > 0 19.47/7.30 19.47/7.30 ---------------------------------------- 19.47/7.30 19.47/7.30 (9) IRS2T2 (EQUIVALENT) 19.47/7.30 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 19.47/7.30 19.47/7.30 (f_227_3,1) 19.47/7.30 19.47/7.30 ---------------------------------------- 19.47/7.30 19.47/7.30 (10) 19.47/7.30 Obligation: 19.47/7.30 START: 0; 19.47/7.30 19.47/7.30 FROM: 0; 19.47/7.30 TO: 1; 19.47/7.30 19.47/7.30 FROM: 1; 19.47/7.30 oldX0 := x0; 19.47/7.30 oldX1 := x1; 19.47/7.30 oldX2 := x2; 19.47/7.30 oldX3 := -(oldX2 - -1); 19.47/7.30 assume(1 + oldX3 + oldX2 = 0 && oldX0 > 0); 19.47/7.30 x0 := oldX0 + oldX1; 19.47/7.30 x1 := oldX2; 19.47/7.30 x2 := -(oldX2 - -1); 19.47/7.30 TO: 1; 19.47/7.30 19.47/7.30 19.47/7.30 ---------------------------------------- 19.47/7.30 19.47/7.30 (11) T2 (EQUIVALENT) 19.47/7.30 No proof given by T2 19.47/7.30 ---------------------------------------- 19.47/7.30 19.47/7.30 (12) 19.47/7.30 YES 19.51/9.22 EOF