20.07/6.83 YES 20.41/6.85 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 20.41/6.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.41/6.85 20.41/6.85 20.41/6.85 Termination of the given C Problem could be proven: 20.41/6.85 20.41/6.85 (0) C Problem 20.41/6.85 (1) CToLLVMProof [EQUIVALENT, 172 ms] 20.41/6.85 (2) LLVM problem 20.41/6.85 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3889 ms] 20.41/6.85 (4) LLVM Symbolic Execution Graph 20.41/6.85 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 20.41/6.85 (6) LLVM Symbolic Execution SCC 20.41/6.85 (7) SCC2IRS [SOUND, 71 ms] 20.41/6.85 (8) IntTRS 20.41/6.85 (9) PolynomialOrderProcessor [EQUIVALENT, 11 ms] 20.41/6.85 (10) YES 20.41/6.85 20.41/6.85 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (0) 20.41/6.85 Obligation: 20.41/6.85 c file /export/starexec/sandbox/benchmark/theBenchmark.c 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (1) CToLLVMProof (EQUIVALENT) 20.41/6.85 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (2) 20.41/6.85 Obligation: 20.41/6.85 LLVM Problem 20.41/6.85 20.41/6.85 Aliases: 20.41/6.85 20.41/6.85 Data layout: 20.41/6.85 20.41/6.85 "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" 20.41/6.85 20.41/6.85 Machine: 20.41/6.85 20.41/6.85 "x86_64-pc-linux-gnu" 20.41/6.85 20.41/6.85 Type definitions: 20.41/6.85 20.41/6.85 Global variables: 20.41/6.85 20.41/6.85 Function declarations and definitions: 20.41/6.85 20.41/6.85 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.41/6.85 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.41/6.85 0: 20.41/6.85 %1 = alloca i32, align 4 20.41/6.85 %2 = alloca i32, align 4 20.41/6.85 %x_ref = alloca *i32, align 8 20.41/6.85 %y_ref = alloca *i32, align 8 20.41/6.85 %c = alloca *i32, align 8 20.41/6.85 store %x, %1 20.41/6.85 store %y, %2 20.41/6.85 %3 = alloca i8, numElementsLit: 4 20.41/6.85 %4 = bitcast *i8 %3 to *i32 20.41/6.85 store %4, %x_ref 20.41/6.85 %5 = alloca i8, numElementsLit: 4 20.41/6.85 %6 = bitcast *i8 %5 to *i32 20.41/6.85 store %6, %y_ref 20.41/6.85 %7 = alloca i8, numElementsLit: 4 20.41/6.85 %8 = bitcast *i8 %7 to *i32 20.41/6.85 store %8, %c 20.41/6.85 %9 = load %1 20.41/6.85 %10 = load %x_ref 20.41/6.85 store %9, %10 20.41/6.85 %11 = load %2 20.41/6.85 %12 = load %y_ref 20.41/6.85 store %11, %12 20.41/6.85 %13 = load %c 20.41/6.85 store 0, %13 20.41/6.85 br %14 20.41/6.85 14: 20.41/6.85 %15 = load %x_ref 20.41/6.85 %16 = load %15 20.41/6.85 %17 = load %y_ref 20.41/6.85 %18 = load %17 20.41/6.85 %19 = icmp sgt %16 %18 20.41/6.85 br %19, %20, %29 20.41/6.85 20: 20.41/6.85 %21 = load %y_ref 20.41/6.85 %22 = load %21 20.41/6.85 %23 = add %22 1 20.41/6.85 %24 = load %y_ref 20.41/6.85 store %23, %24 20.41/6.85 %25 = load %c 20.41/6.85 %26 = load %25 20.41/6.85 %27 = add %26 1 20.41/6.85 %28 = load %c 20.41/6.85 store %27, %28 20.41/6.85 br %14 20.41/6.85 29: 20.41/6.85 %30 = load %c 20.41/6.85 %31 = load %30 20.41/6.85 ret %31 20.41/6.85 20.41/6.85 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 20.41/6.85 0: 20.41/6.85 %1 = alloca i32, align 4 20.41/6.85 store 0, %1 20.41/6.85 %2 = call i32 @__VERIFIER_nondet_int() 20.41/6.85 %3 = call i32 @__VERIFIER_nondet_int() 20.41/6.85 %4 = call i32 @test_fun(i32 %2, i32 %3) 20.41/6.85 ret %4 20.41/6.85 20.41/6.85 20.41/6.85 Analyze Termination of all function calls matching the pattern: 20.41/6.85 main() 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (3) LLVMToTerminationGraphProof (EQUIVALENT) 20.41/6.85 Constructed symbolic execution graph for LLVM program and proved memory safety. 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (4) 20.41/6.85 Obligation: 20.41/6.85 SE Graph 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (5) SymbolicExecutionGraphToSCCProof (SOUND) 20.41/6.85 Splitted symbolic execution graph to 1 SCC. 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (6) 20.41/6.85 Obligation: 20.41/6.85 SCC 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (7) SCC2IRS (SOUND) 20.41/6.85 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 20.41/6.85 Generated rules. Obtained 19 rulesP rules: 20.41/6.85 f_362(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_363(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_363(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_364(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_364(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_365(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_365(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_366(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: v194 < v182 20.41/6.85 f_366(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_368(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_368(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_370(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: TRUE 20.41/6.85 f_370(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_372(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_372(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v192, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_374(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_374(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_376(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: v208 = 1 + v194 20.41/6.85 f_376(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_378(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_378(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_379(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: TRUE 20.41/6.85 f_379(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_380(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_380(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_381(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 f_381(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_382(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) :|: v210 = 1 + v196 && 2 <= v210 20.41/6.85 f_382(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) -> f_383(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) :|: 0 = 0 20.41/6.85 f_383(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) -> f_384(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) :|: TRUE 20.41/6.85 f_384(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) -> f_385(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) :|: TRUE 20.41/6.85 f_385(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8, 2) -> f_361(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v194, 1, v208, v196, v210, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: TRUE 20.41/6.85 f_361(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) -> f_362(v182, v183, v184, v185, v186, v187, v188, v189, v190, v191, v192, 1, v194, v195, v196, v197, v198, v199, v200, v201, v202, v203, v204, v205, v206, 0, 3, 7, 4, 8) :|: 0 = 0 20.41/6.85 Combined rules. Obtained 1 rulesP rules: 20.41/6.85 f_362(v182:0, v183:0, v184:0, v185:0, v186:0, v187:0, v188:0, v189:0, v190:0, v191:0, v192:0, 1, v194:0, v195:0, v196:0, v197:0, v198:0, v199:0, v200:0, v201:0, v202:0, v203:0, v204:0, v205:0, v206:0, 0, 3, 7, 4, 8) -> f_362(v182:0, v183:0, v184:0, v185:0, v186:0, v187:0, v188:0, v189:0, v190:0, v191:0, v194:0, 1, 1 + v194:0, v196:0, 1 + v196:0, v197:0, v198:0, v199:0, v200:0, v201:0, v202:0, v203:0, v204:0, v205:0, v206:0, 0, 3, 7, 4, 8) :|: v196:0 > 0 && v194:0 < v182:0 20.41/6.85 Filtered unneeded arguments: 20.41/6.85 f_362(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, x30) -> f_362(x1, x13, x15) 20.41/6.85 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 20.41/6.85 f_362(v182:0, v194:0, v196:0) -> f_362(v182:0, 1 + v194:0, 1 + v196:0) :|: v196:0 > 0 && v194:0 < v182:0 20.41/6.85 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (8) 20.41/6.85 Obligation: 20.41/6.85 Rules: 20.41/6.85 f_362(v182:0, v194:0, v196:0) -> f_362(v182:0, 1 + v194:0, 1 + v196:0) :|: v196:0 > 0 && v194:0 < v182:0 20.41/6.85 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (9) PolynomialOrderProcessor (EQUIVALENT) 20.41/6.85 Found the following polynomial interpretation: 20.41/6.85 [f_362(x, x1, x2)] = x - x1 20.41/6.85 20.41/6.85 The following rules are decreasing: 20.41/6.85 f_362(v182:0, v194:0, v196:0) -> f_362(v182:0, 1 + v194:0, 1 + v196:0) :|: v196:0 > 0 && v194:0 < v182:0 20.41/6.85 The following rules are bounded: 20.41/6.85 f_362(v182:0, v194:0, v196:0) -> f_362(v182:0, 1 + v194:0, 1 + v196:0) :|: v196:0 > 0 && v194:0 < v182:0 20.41/6.85 20.41/6.85 ---------------------------------------- 20.41/6.85 20.41/6.85 (10) 20.41/6.85 YES 20.41/6.89 EOF