/export/starexec/sandbox/solver/bin/starexec_run_c /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.c # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be proven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 171 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 6557 ms] (4) LLVM Symbolic Execution Graph (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] (6) LLVM Symbolic Execution SCC (7) SCC2IRS [SOUND, 84 ms] (8) IntTRS (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] (10) IntTRS (11) RankingReductionPairProof [EQUIVALENT, 25 ms] (12) YES ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox/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: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (x i32, y i32, z i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %2 = alloca i32, align 4 %3 = alloca i32, align 4 %x_ref = alloca *i32, align 8 %y_ref = alloca *i32, align 8 %z_ref = alloca *i32, align 8 %c = alloca *i32, align 8 store %x, %1 store %y, %2 store %z, %3 %4 = alloca i8, numElementsLit: 4 %5 = bitcast *i8 %4 to *i32 store %5, %x_ref %6 = alloca i8, numElementsLit: 4 %7 = bitcast *i8 %6 to *i32 store %7, %y_ref %8 = alloca i8, numElementsLit: 4 %9 = bitcast *i8 %8 to *i32 store %9, %z_ref %10 = alloca i8, numElementsLit: 4 %11 = bitcast *i8 %10 to *i32 store %11, %c %12 = load %1 %13 = load %x_ref store %12, %13 %14 = load %2 %15 = load %y_ref store %14, %15 %16 = load %3 %17 = load %z_ref store %16, %17 %18 = load %c store 0, %18 br %19 19: %20 = load %x_ref %21 = load %20 %22 = load %y_ref %23 = load %22 %24 = icmp eq %21 %23 br %24, %25, %31 25: %26 = load %x_ref %27 = load %26 %28 = load %z_ref %29 = load %28 %30 = icmp sgt %27 %29 br %31 31: %32 = phi [0, %19], [%30, %25] br %32, %33, %54 33: br %34 34: %35 = load %y_ref %36 = load %35 %37 = load %z_ref %38 = load %37 %39 = icmp sgt %36 %38 br %39, %40, %53 40: %41 = load %x_ref %42 = load %41 %43 = sub %42 1 %44 = load %x_ref store %43, %44 %45 = load %y_ref %46 = load %45 %47 = sub %46 1 %48 = load %y_ref store %47, %48 %49 = load %c %50 = load %49 %51 = add %50 1 %52 = load %c store %51, %52 br %34 53: br %19 54: %55 = load %c %56 = load %55 ret %56 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 store 0, %1 %2 = call i32 @__VERIFIER_nondet_int() %3 = call i32 @__VERIFIER_nondet_int() %4 = call i32 @__VERIFIER_nondet_int() %5 = call i32 @test_fun(i32 %2, i32 %3, i32 %4) ret %5 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) SymbolicExecutionGraphToSCCProof (SOUND) Splitted symbolic execution graph to 1 SCC. ---------------------------------------- (6) Obligation: SCC ---------------------------------------- (7) SCC2IRS (SOUND) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 24 rulesP rules: f_595(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v512, v513, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_596(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_596(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_597(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_597(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_598(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_598(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_599(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: v499 < v513 f_599(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_601(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_601(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_603(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE f_603(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_605(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_605(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_607(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_607(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_609(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 1 + v530 = v513 f_609(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_611(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_611(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_613(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE f_613(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_615(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_615(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v512, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_617(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_617(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_619(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 1 + v530 = v513 f_619(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_621(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_621(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_623(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE f_623(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_625(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_625(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_627(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 f_627(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_629(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: v533 = 1 + v515 && 2 <= v533 f_629(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_631(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: 0 = 0 f_631(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_633(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: TRUE f_633(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_635(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) :|: TRUE f_635(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8, 2) -> f_594(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v513, v530, v515, v533, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: TRUE f_594(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v512, v513, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) -> f_595(v498, v499, v500, v501, v502, v503, v504, v505, v506, v507, v508, v509, v510, 1, v512, v513, v514, v515, v516, v517, v518, v519, v520, v521, v522, v523, v524, v525, v526, v527, v528, 0, 3, 7, 4, 8) :|: 0 = 0 Combined rules. Obtained 1 rulesP rules: f_595(v498:0, v499:0, v500:0, v501:0, v502:0, v503:0, v504:0, v505:0, v506:0, v507:0, v508:0, v509:0, v510:0, 1, v512:0, 1 + v530:0, v514:0, v515:0, v516:0, v517:0, v518:0, v519:0, v520:0, v521:0, v522:0, v523:0, v524:0, v525:0, v526:0, v527:0, v528:0, 0, 3, 7, 4, 8) -> f_595(v498:0, v499:0, v500:0, v501:0, v502:0, v503:0, v504:0, v505:0, v506:0, v507:0, v508:0, v509:0, v510:0, 1, 1 + v530:0, v530:0, v515:0, 1 + v515:0, v516:0, v517:0, v518:0, v519:0, v520:0, v521:0, v522:0, v523:0, v524:0, v525:0, v526:0, v527:0, v528:0, 0, 3, 7, 4, 8) :|: v515:0 > 0 && v499:0 < 1 + v530:0 Filtered unneeded arguments: f_595(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, x31, x32, x33, x34, x35, x36) -> f_595(x2, x16, x18) Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: f_595(v499:0, sum~cons_1~v530:0, v515:0) -> f_595(v499:0, v530:0, 1 + v515:0) :|: v515:0 > 0 && v499:0 < 1 + v530:0 && sum~cons_1~v530:0 = 1 + v530:0 ---------------------------------------- (8) Obligation: Rules: f_595(v499:0, sum~cons_1~v530:0, v515:0) -> f_595(v499:0, v530:0, 1 + v515:0) :|: v515:0 > 0 && v499:0 < 1 + v530:0 && sum~cons_1~v530:0 = 1 + v530:0 ---------------------------------------- (9) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (10) Obligation: Rules: f_595(v499:0:0, sum~cons_1~v530:0:0, v515:0:0) -> f_595(v499:0:0, v530:0:0, 1 + v515:0:0) :|: v515:0:0 > 0 && v499:0:0 < 1 + v530:0:0 && sum~cons_1~v530:0:0 = 1 + v530:0:0 ---------------------------------------- (11) RankingReductionPairProof (EQUIVALENT) Interpretation: [ f_595 ] = -1*f_595_1 + f_595_2 The following rules are decreasing: f_595(v499:0:0, sum~cons_1~v530:0:0, v515:0:0) -> f_595(v499:0:0, v530:0:0, 1 + v515:0:0) :|: v515:0:0 > 0 && v499:0:0 < 1 + v530:0:0 && sum~cons_1~v530:0:0 = 1 + v530:0:0 The following rules are bounded: f_595(v499:0:0, sum~cons_1~v530:0:0, v515:0:0) -> f_595(v499:0:0, v530:0:0, 1 + v515:0:0) :|: v515:0:0 > 0 && v499:0:0 < 1 + v530:0:0 && sum~cons_1~v530:0:0 = 1 + v530:0:0 ---------------------------------------- (12) YES