23.60/7.43 YES 23.60/7.44 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 23.60/7.44 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.60/7.44 23.60/7.44 23.60/7.44 Termination of the given C Problem could be proven: 23.60/7.44 23.60/7.44 (0) C Problem 23.60/7.44 (1) CToLLVMProof [EQUIVALENT, 177 ms] 23.60/7.44 (2) LLVM problem 23.60/7.44 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3141 ms] 23.60/7.44 (4) LLVM Symbolic Execution Graph 23.60/7.44 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 23.60/7.44 (6) LLVM Symbolic Execution SCC 23.60/7.44 (7) SCC2IRS [SOUND, 97 ms] 23.60/7.44 (8) IntTRS 23.60/7.44 (9) IRS2T2 [EQUIVALENT, 0 ms] 23.60/7.44 (10) T2IntSys 23.60/7.44 (11) T2 [EQUIVALENT, 1086 ms] 23.60/7.44 (12) YES 23.60/7.44 23.60/7.44 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (0) 23.60/7.44 Obligation: 23.60/7.44 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (1) CToLLVMProof (EQUIVALENT) 23.60/7.44 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (2) 23.60/7.44 Obligation: 23.60/7.44 LLVM Problem 23.60/7.44 23.60/7.44 Aliases: 23.60/7.44 23.60/7.44 Data layout: 23.60/7.44 23.60/7.44 "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" 23.60/7.44 23.60/7.44 Machine: 23.60/7.44 23.60/7.44 "x86_64-pc-linux-gnu" 23.60/7.44 23.60/7.44 Type definitions: 23.60/7.44 23.60/7.44 Global variables: 23.60/7.44 23.60/7.44 Function declarations and definitions: 23.60/7.44 23.60/7.44 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 23.60/7.44 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 23.60/7.44 0: 23.60/7.44 %1 = alloca i32, align 4 23.60/7.44 %x = alloca i32, align 4 23.60/7.44 %y = alloca i32, align 4 23.60/7.44 %z = alloca i32, align 4 23.60/7.44 store 0, %1 23.60/7.44 %2 = call i32 @__VERIFIER_nondet_int() 23.60/7.44 store %2, %x 23.60/7.44 %3 = call i32 @__VERIFIER_nondet_int() 23.60/7.44 store %3, %y 23.60/7.44 %4 = call i32 @__VERIFIER_nondet_int() 23.60/7.44 store %4, %z 23.60/7.44 %5 = call i32 @random() 23.60/7.44 %6 = call i32 @random() 23.60/7.44 Unnamed Call-Instruction = call BasicVoidType @loop(i32 %5, i32 %6) 23.60/7.44 %7 = load %1 23.60/7.44 ret %7 23.60/7.44 23.60/7.44 *BasicFunctionTypename: "loop" linkageType: EXTERNALLY_VISIBLE returnParam: BasicVoidType parameters: (a i32, b i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 23.60/7.44 0: 23.60/7.44 %1 = alloca i32, align 4 23.60/7.44 %2 = alloca i32, align 4 23.60/7.44 store %a, %1 23.60/7.44 store %b, %2 23.60/7.44 %3 = load %1 23.60/7.44 %4 = icmp sgt %3 0 23.60/7.44 br %4, %5, %13 23.60/7.44 5: 23.60/7.44 %6 = load %1 23.60/7.44 %7 = load %2 23.60/7.44 %8 = add %6 %7 23.60/7.44 store %8, %1 23.60/7.44 %9 = load %2 23.60/7.44 %10 = sub %9 1 23.60/7.44 store %10, %2 23.60/7.44 %11 = load %1 23.60/7.44 %12 = load %2 23.60/7.44 Unnamed Call-Instruction = call BasicVoidType @loop(i32 %11, i32 %12) 23.60/7.44 br %13 23.60/7.44 13: 23.60/7.44 ret void 23.60/7.44 23.60/7.44 *BasicFunctionTypename: "random" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 23.60/7.44 0: 23.60/7.44 %1 = alloca i32, align 4 23.60/7.44 %x = alloca i32, align 4 23.60/7.44 %2 = call i32 @__VERIFIER_nondet_int() 23.60/7.44 store %2, %x 23.60/7.44 %3 = load %x 23.60/7.44 %4 = icmp slt %3 0 23.60/7.44 br %4, %5, %8 23.60/7.44 5: 23.60/7.44 %6 = load %x 23.60/7.44 %7 = sub 0 %6 23.60/7.44 store %7, %1 23.60/7.44 br %10 23.60/7.44 8: 23.60/7.44 %9 = load %x 23.60/7.44 store %9, %1 23.60/7.44 br %10 23.60/7.44 10: 23.60/7.44 %11 = load %1 23.60/7.44 ret %11 23.60/7.44 23.60/7.44 23.60/7.44 Analyze Termination of all function calls matching the pattern: 23.60/7.44 main() 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (3) LLVMToTerminationGraphProof (EQUIVALENT) 23.60/7.44 Constructed symbolic execution graph for LLVM program and proved memory safety. 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (4) 23.60/7.44 Obligation: 23.60/7.44 SE Graph 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (5) SymbolicExecutionGraphToSCCProof (SOUND) 23.60/7.44 Splitted symbolic execution graph to 1 SCC. 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (6) 23.60/7.44 Obligation: 23.60/7.44 SCC 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (7) SCC2IRS (SOUND) 23.60/7.44 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 23.60/7.44 Generated rules. Obtained 20 rulesP rules: 23.60/7.44 f_337(v283, v284, v297, v285, v286, v287, v288, v289, v290, v291, v292, v298, 0, v294, v295, v296, 3, 1, 4) -> f_338(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) :|: 1 <= v299 && v300 = 3 + v299 && 4 <= v300 23.60/7.44 f_338(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) -> f_339(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) :|: TRUE 23.60/7.44 f_339(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) -> f_340(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) :|: TRUE 23.60/7.44 f_340(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) -> f_341(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) :|: 0 = 0 23.60/7.44 f_341(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) -> f_342(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) :|: 0 < v283 23.60/7.44 f_342(v283, v284, v297, v299, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 1, 4) -> f_344(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 0 = 0 23.60/7.44 f_344(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_346(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: TRUE 23.60/7.44 f_346(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_348(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 0 = 0 23.60/7.44 f_348(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_351(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 0 = 0 23.60/7.44 f_351(v283, v284, v297, v299, 1, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_354(v283, v284, v297, v299, 1, v337, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: v337 = v283 + v284 23.60/7.44 f_354(v283, v284, v297, v299, 1, v337, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_357(v283, v284, v297, v299, 1, v337, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: TRUE 23.60/7.44 f_357(v283, v284, v297, v299, 1, v337, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_358(v283, v284, v297, v299, 1, v337, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 0 = 0 23.60/7.44 f_358(v283, v284, v297, v299, 1, v337, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_359(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 1 + v339 = v284 23.60/7.44 f_359(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_360(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: TRUE 23.60/7.44 f_360(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_361(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 0 = 0 23.60/7.44 f_361(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_362(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) :|: 0 = 0 23.60/7.44 f_362(v283, v284, v297, v299, 1, v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v298, v300, 0, v294, v295, v296, 3, 4) -> f_363(v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v297, v298, v299, v300, 0, v294, v295, v296, v283, v284, 1, 3, 4) :|: 0 = 0 23.60/7.44 f_363(v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v297, v298, v299, v300, 0, v294, v295, v296, v283, v284, 1, 3, 4) -> f_364(v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v297, v298, v299, v300, 0, v294, v295, v296, 3, 1, 4) :|: TRUE 23.60/7.44 f_364(v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, v297, v298, v299, v300, 0, v294, v295, v296, 3, 1, 4) -> f_336(v337, v339, v285, v286, v287, v288, v289, v290, v291, v292, 0, v294, v295, v296, 3, 1, 4) :|: TRUE 23.60/7.44 f_336(v283, v284, v285, v286, v287, v288, v289, v290, v291, v292, 0, v294, v295, v296, 3, 1, 4) -> f_337(v283, v284, v297, v285, v286, v287, v288, v289, v290, v291, v292, v298, 0, v294, v295, v296, 3, 1, 4) :|: 1 <= v297 && v298 = 3 + v297 && 4 <= v298 23.60/7.44 Combined rules. Obtained 1 rulesP rules: 23.60/7.44 f_337(v283:0, 1 + v339:0, v297:0, v285:0, v286:0, v287:0, v288:0, v289:0, v290:0, v291:0, v292:0, v298:0, 0, v294:0, v295:0, v296:0, 3, 1, 4) -> f_337(v283:0 + (1 + v339:0), v339:0, v297:1, v285:0, v286:0, v287:0, v288:0, v289:0, v290:0, v291:0, v292:0, 3 + v297:1, 0, v294:0, v295:0, v296:0, 3, 1, 4) :|: v299:0 > 0 && v283:0 > 0 && v297:1 > 0 23.60/7.44 Filtered unneeded arguments: 23.60/7.44 f_337(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f_337(x1, x2) 23.60/7.44 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 23.60/7.44 f_337(v283:0, sum~cons_1~v339:0) -> f_337(v283:0 + (1 + v339:0), v339:0) :|: v283:0 > 0 && sum~cons_1~v339:0 = 1 + v339:0 23.60/7.44 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (8) 23.60/7.44 Obligation: 23.60/7.44 Rules: 23.60/7.44 f_337(v283:0, sum~cons_1~v339:0) -> f_337(v283:0 + (1 + v339:0), v339:0) :|: v283:0 > 0 && sum~cons_1~v339:0 = 1 + v339:0 23.60/7.44 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (9) IRS2T2 (EQUIVALENT) 23.60/7.44 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 23.60/7.44 23.60/7.44 (f_337_2,1) 23.60/7.44 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (10) 23.60/7.44 Obligation: 23.60/7.44 START: 0; 23.60/7.44 23.60/7.44 FROM: 0; 23.60/7.44 TO: 1; 23.60/7.44 23.60/7.44 FROM: 1; 23.60/7.44 oldX0 := x0; 23.60/7.44 oldX1 := x1; 23.60/7.44 oldX2 := oldX1 - 1; 23.60/7.44 assume(oldX0 > 0 && oldX1 = 1 + oldX2); 23.60/7.44 x0 := oldX0 + (1 + oldX2); 23.60/7.44 x1 := oldX1 - 1; 23.60/7.44 TO: 1; 23.60/7.44 23.60/7.44 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (11) T2 (EQUIVALENT) 23.60/7.44 No proof given by T2 23.60/7.44 ---------------------------------------- 23.60/7.44 23.60/7.44 (12) 23.60/7.44 YES 23.85/7.48 EOF