24.93/8.30 YES 25.29/8.31 proof of /export/starexec/sandbox2/benchmark/theBenchmark.c 25.29/8.31 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.29/8.31 25.29/8.31 25.29/8.31 Termination of the given C Problem could be proven: 25.29/8.31 25.29/8.31 (0) C Problem 25.29/8.31 (1) CToLLVMProof [EQUIVALENT, 174 ms] 25.29/8.31 (2) LLVM problem 25.29/8.31 (3) LLVMToTerminationGraphProof [EQUIVALENT, 3580 ms] 25.29/8.31 (4) LLVM Symbolic Execution Graph 25.29/8.31 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 25.29/8.31 (6) AND 25.29/8.31 (7) LLVM Symbolic Execution SCC 25.29/8.31 (8) SCC2IRS [SOUND, 72 ms] 25.29/8.31 (9) IntTRS 25.29/8.31 (10) IRS2T2 [EQUIVALENT, 0 ms] 25.29/8.31 (11) T2IntSys 25.29/8.31 (12) T2 [EQUIVALENT, 1253 ms] 25.29/8.31 (13) YES 25.29/8.31 (14) LLVM Symbolic Execution SCC 25.29/8.31 (15) SCC2IRS [SOUND, 62 ms] 25.29/8.31 (16) IntTRS 25.29/8.31 (17) IRS2T2 [EQUIVALENT, 0 ms] 25.29/8.31 (18) T2IntSys 25.29/8.31 (19) T2 [EQUIVALENT, 906 ms] 25.29/8.31 (20) YES 25.29/8.31 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (0) 25.29/8.31 Obligation: 25.29/8.31 c file /export/starexec/sandbox2/benchmark/theBenchmark.c 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (1) CToLLVMProof (EQUIVALENT) 25.29/8.31 Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (2) 25.29/8.31 Obligation: 25.29/8.31 LLVM Problem 25.29/8.31 25.29/8.31 Aliases: 25.29/8.31 25.29/8.31 Data layout: 25.29/8.31 25.29/8.31 "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" 25.29/8.31 25.29/8.31 Machine: 25.29/8.31 25.29/8.31 "x86_64-pc-linux-gnu" 25.29/8.31 25.29/8.31 Type definitions: 25.29/8.31 25.29/8.31 Global variables: 25.29/8.31 25.29/8.31 Function declarations and definitions: 25.29/8.31 25.29/8.31 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.29/8.31 *BasicFunctionTypename: "test_fun" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: (i i32, j i32) variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.29/8.31 0: 25.29/8.31 %1 = alloca i32, align 4 25.29/8.31 %2 = alloca i32, align 4 25.29/8.31 %c = alloca i32, align 4 25.29/8.31 store %i, %1 25.29/8.31 store %j, %2 25.29/8.31 store 0, %c 25.29/8.31 br %3 25.29/8.31 3: 25.29/8.31 %4 = load %1 25.29/8.31 %5 = icmp sge %4 0 25.29/8.31 br %5, %6, %20 25.29/8.31 6: 25.29/8.31 store 0, %2 25.29/8.31 br %7 25.29/8.31 7: 25.29/8.31 %8 = load %2 25.29/8.31 %9 = load %1 25.29/8.31 %10 = sub %9 1 25.29/8.31 %11 = icmp sle %8 %10 25.29/8.31 br %11, %12, %17 25.29/8.31 12: 25.29/8.31 %13 = load %2 25.29/8.31 %14 = add %13 1 25.29/8.31 store %14, %2 25.29/8.31 %15 = load %c 25.29/8.31 %16 = add %15 1 25.29/8.31 store %16, %c 25.29/8.31 br %7 25.29/8.31 17: 25.29/8.31 %18 = load %1 25.29/8.31 %19 = sub %18 1 25.29/8.31 store %19, %1 25.29/8.31 br %3 25.29/8.31 20: 25.29/8.31 %21 = load %c 25.29/8.31 ret %21 25.29/8.31 25.29/8.31 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 25.29/8.31 0: 25.29/8.31 %1 = alloca i32, align 4 25.29/8.31 store 0, %1 25.29/8.31 %2 = call i32 @__VERIFIER_nondet_int() 25.29/8.31 %3 = call i32 @__VERIFIER_nondet_int() 25.29/8.31 %4 = call i32 @test_fun(i32 %2, i32 %3) 25.29/8.31 ret %4 25.29/8.31 25.29/8.31 25.29/8.31 Analyze Termination of all function calls matching the pattern: 25.29/8.31 main() 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (3) LLVMToTerminationGraphProof (EQUIVALENT) 25.29/8.31 Constructed symbolic execution graph for LLVM program and proved memory safety. 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (4) 25.29/8.31 Obligation: 25.29/8.31 SE Graph 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (5) SymbolicExecutionGraphToSCCProof (SOUND) 25.29/8.31 Splitted symbolic execution graph to 2 SCCs. 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (6) 25.29/8.31 Complex Obligation (AND) 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (7) 25.29/8.31 Obligation: 25.29/8.31 SCC 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (8) SCC2IRS (SOUND) 25.29/8.31 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.29/8.31 Generated rules. Obtained 34 rulesP rules: 25.29/8.31 f_449(v562, v563, v564, v565, v566, v567, 1, 0, v569, v571, v572, v573, v574, v575, v576, v577, v578, v579, 3, 4) -> f_450(v562, v563, v564, v565, v566, v567, 1, 0, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 4) :|: 0 = 0 25.29/8.31 f_450(v562, v563, v564, v565, v566, v567, 1, 0, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 4) -> f_451(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 4) :|: 1 + v590 = v567 && 0 <= 1 + v590 25.29/8.31 f_451(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 4) -> f_452(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 2, 4) :|: 0 <= v590 && 1 <= v567 && 2 <= v569 && 2 <= v562 && 2 <= v572 && 1 <= v571 && 2 <= v574 && 1 <= v573 25.29/8.31 f_452(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 2, 4) -> f_454(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_454(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 2, 4) -> f_456(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 2, 4) :|: TRUE 25.29/8.31 f_456(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 3, 2, 4) -> f_457(v562, v563, v564, v565, v566, v567, 1, 0, v590, v571, v572, v573, v574, v569, v575, v576, v577, v578, v579, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_457(v604, v605, v606, v607, v608, v609, 1, v611, v612, v613, v614, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_459(v604, v605, v606, v607, v608, v609, 1, v611, v612, v614, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_459(v604, v605, v606, v607, v608, v609, 1, v611, v612, v614, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_461(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: v629 = 1 + v611 && 1 <= v629 25.29/8.31 f_461(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_463(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_463(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v615, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_465(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_465(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_467(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: v642 = 1 + v616 && 3 <= v642 25.29/8.31 f_467(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_469(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_469(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_471(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_471(v604, v605, v606, v607, v608, v609, 1, v611, v612, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_473(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_473(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_475(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_475(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_477(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: 1 + v612 = v609 25.29/8.31 f_477(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_478(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: v629 <= v612 && 1 <= v612 && 2 <= v609 && 3 <= v617 && 3 <= v604 && 3 <= v616 && 4 <= v642 25.29/8.31 f_477(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_479(v604, v605, v606, v607, v608, v629, 1, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: v612 < v629 && v609 = v629 && v612 = v611 25.29/8.31 f_478(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_480(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_480(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_482(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_482(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_457(v604, v605, v606, v607, v608, v609, 1, v629, v612, v611, v629, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_479(v604, v605, v606, v607, v608, v629, 1, v611, v616, v642, v617, v618, v619, v620, v621, v622, 0, 3, 2, 4) -> f_481(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v617, v618, v619, v620, v621, v622, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_481(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v617, v618, v619, v620, v621, v622, 3, 2, 4) -> f_483(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v617, v618, v619, v620, v621, v622, 3, 2, 4) :|: TRUE 25.29/8.31 f_483(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v617, v618, v619, v620, v621, v622, 3, 2, 4) -> f_484(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_484(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_485(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: 1 + v611 = v629 25.29/8.31 f_485(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_486(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: TRUE 25.29/8.31 f_486(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_487(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: TRUE 25.29/8.31 f_487(v604, v605, v606, v607, v608, v629, 1, v611, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_488(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_488(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_489(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_489(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_490(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: TRUE 25.29/8.31 f_490(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_491(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: TRUE 25.29/8.31 f_491(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_492(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) :|: TRUE 25.29/8.31 f_492(v604, v605, v606, v607, v608, v611, 1, v629, 0, v616, v642, v618, v619, v620, v621, v622, 3, 2, 4) -> f_448(v604, v605, v606, v607, v608, v611, 1, v629, 0, v611, v629, v616, v642, v618, v619, v620, v621, v622, 3, 4) :|: TRUE 25.29/8.31 f_448(v562, v563, v564, v565, v566, v567, 1, v569, 0, v571, v572, v573, v574, v575, v576, v577, v578, v579, 3, 4) -> f_449(v562, v563, v564, v565, v566, v567, 1, 0, v569, v571, v572, v573, v574, v575, v576, v577, v578, v579, 3, 4) :|: 0 = 0 25.29/8.31 Combined rules. Obtained 2 rulesP rules: 25.29/8.31 f_477(v604:0, v605:0, v606:0, v607:0, v608:0, 1 + (1 + v590:0), 1, 1 + (1 + v590:0), 1 + v590:0, 1 + v590:0, v616:0, v642:0, v617:0, v618:0, v619:0, v620:0, v621:0, v622:0, 0, 3, 2, 4) -> f_477(v604:0, v605:0, v606:0, v607:0, v608:0, 1 + v590:0, 1, 1, v590:0, 0, v642:0, 1 + v642:0, 1 + (1 + v590:0), v618:0, v619:0, v620:0, v621:0, v622:0, 0, 3, 2, 4) :|: v590:0 > -1 && v604:0 > 1 && v642:0 > 1 && v616:0 > 0 && 1 + v590:0 < 1 + (1 + v590:0) 25.29/8.31 f_477(v604:0, v605:0, v606:0, v607:0, v608:0, 1 + v612:0, 1, v629:0, v612:0, v611:0, v616:0, v642:0, v617:0, v618:0, v619:0, v620:0, v621:0, v622:0, 0, 3, 2, 4) -> f_477(v604:0, v605:0, v606:0, v607:0, v608:0, 1 + v612:0, 1, 1 + v629:0, v612:0, v629:0, v642:0, 1 + v642:0, v617:0, v618:0, v619:0, v620:0, v621:0, v622:0, 0, 3, 2, 4) :|: v642:0 > 3 && v629:0 > -1 && v612:0 > 0 && v629:0 <= v612:0 && v617:0 > 2 && v616:0 > 2 && v604:0 > 2 25.29/8.31 Filtered unneeded arguments: 25.29/8.31 f_477(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f_477(x1, x6, x8, x9, x10, x11, x12, x13) 25.29/8.31 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 25.29/8.31 f_477(v604:0, sum~cons_1~sum~cons_1~v590:0, sum~cons_1~sum~cons_1~v590:01, sum~cons_1~v590:0, sum~cons_1~v590:01, v616:0, v642:0, v617:0) -> f_477(v604:0, 1 + v590:0, 1, v590:0, 0, v642:0, 1 + v642:0, 1 + (1 + v590:0)) :|: v604:0 > 1 && v590:0 > -1 && v642:0 > 1 && 1 + v590:0 < 1 + (1 + v590:0) && v616:0 > 0 && sum~cons_1~sum~cons_1~v590:0 = 1 + (1 + v590:0) && sum~cons_1~sum~cons_1~v590:01 = 1 + (1 + v590:0) && sum~cons_1~v590:0 = 1 + v590:0 && sum~cons_1~v590:01 = 1 + v590:0 25.29/8.31 f_477(v604:0, sum~cons_1~v612:0, v629:0, v612:0, v611:0, v616:0, v642:0, v617:0) -> f_477(v604:0, 1 + v612:0, 1 + v629:0, v612:0, v629:0, v642:0, 1 + v642:0, v617:0) :|: v629:0 > -1 && v642:0 > 3 && v612:0 > 0 && v629:0 <= v612:0 && v617:0 > 2 && v604:0 > 2 && v616:0 > 2 && sum~cons_1~v612:0 = 1 + v612:0 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (9) 25.29/8.31 Obligation: 25.29/8.31 Rules: 25.29/8.31 f_477(v604:0, sum~cons_1~sum~cons_1~v590:0, sum~cons_1~sum~cons_1~v590:01, sum~cons_1~v590:0, sum~cons_1~v590:01, v616:0, v642:0, v617:0) -> f_477(v604:0, 1 + v590:0, 1, v590:0, 0, v642:0, 1 + v642:0, 1 + (1 + v590:0)) :|: v604:0 > 1 && v590:0 > -1 && v642:0 > 1 && 1 + v590:0 < 1 + (1 + v590:0) && v616:0 > 0 && sum~cons_1~sum~cons_1~v590:0 = 1 + (1 + v590:0) && sum~cons_1~sum~cons_1~v590:01 = 1 + (1 + v590:0) && sum~cons_1~v590:0 = 1 + v590:0 && sum~cons_1~v590:01 = 1 + v590:0 25.29/8.31 f_477(x, x1, x2, x3, x4, x5, x6, x7) -> f_477(x, 1 + x3, 1 + x2, x3, x2, x6, 1 + x6, x7) :|: x2 > -1 && x6 > 3 && x3 > 0 && x2 <= x3 && x7 > 2 && x > 2 && x5 > 2 && x1 = 1 + x3 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (10) IRS2T2 (EQUIVALENT) 25.29/8.31 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 25.29/8.31 25.29/8.31 (f_477_8,1) 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (11) 25.29/8.31 Obligation: 25.29/8.31 START: 0; 25.29/8.31 25.29/8.31 FROM: 0; 25.29/8.31 TO: 1; 25.29/8.31 25.29/8.31 FROM: 1; 25.29/8.31 oldX0 := x0; 25.29/8.31 oldX1 := x1; 25.29/8.31 oldX2 := x2; 25.29/8.31 oldX3 := x3; 25.29/8.31 oldX4 := x4; 25.29/8.31 oldX5 := x5; 25.29/8.31 oldX6 := x6; 25.29/8.31 oldX7 := x7; 25.29/8.31 oldX8 := oldX1 - 2; 25.29/8.31 assume(oldX0 > 1 && oldX8 > -1 && oldX6 > 1 && 1 + oldX8 < 1 + (1 + oldX8) && oldX5 > 0 && oldX1 = 1 + (1 + oldX8) && oldX2 = 1 + (1 + oldX8) && oldX3 = 1 + oldX8 && oldX4 = 1 + oldX8); 25.29/8.31 x0 := oldX0; 25.29/8.31 x1 := 1 + oldX8; 25.29/8.31 x2 := 1; 25.29/8.31 x3 := oldX1 - 2; 25.29/8.31 x4 := 0; 25.29/8.31 x5 := oldX6; 25.29/8.31 x6 := 1 + oldX6; 25.29/8.31 x7 := 1 + (1 + oldX8); 25.29/8.31 TO: 1; 25.29/8.31 25.29/8.31 FROM: 1; 25.29/8.31 oldX0 := x0; 25.29/8.31 oldX1 := x1; 25.29/8.31 oldX2 := x2; 25.29/8.31 oldX3 := x3; 25.29/8.31 oldX4 := x4; 25.29/8.31 oldX5 := x5; 25.29/8.31 oldX6 := x6; 25.29/8.31 oldX7 := x7; 25.29/8.31 assume(oldX2 > -1 && oldX6 > 3 && oldX3 > 0 && oldX2 <= oldX3 && oldX7 > 2 && oldX0 > 2 && oldX5 > 2 && oldX1 = 1 + oldX3); 25.29/8.31 x0 := oldX0; 25.29/8.31 x1 := 1 + oldX3; 25.29/8.31 x2 := 1 + oldX2; 25.29/8.31 x3 := oldX3; 25.29/8.31 x4 := oldX2; 25.29/8.31 x5 := oldX6; 25.29/8.31 x6 := 1 + oldX6; 25.29/8.31 x7 := oldX7; 25.29/8.31 TO: 1; 25.29/8.31 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (12) T2 (EQUIVALENT) 25.29/8.31 Initially, performed program simplifications using lexicographic rank functions: 25.29/8.31 * Removed transitions 1, 4, 5 using the following rank functions: 25.29/8.31 - Rank function 1: 25.29/8.31 RF for loc. 5: x1 25.29/8.31 RF for loc. 6: x1 25.29/8.31 Bound for (chained) transitions 4: 2 25.29/8.31 - Rank function 2: 25.29/8.31 RF for loc. 5: 1-2*x2+2*x3 25.29/8.31 RF for loc. 6: -2*x2+2*x3 25.29/8.31 Bound for (chained) transitions 5: 0 25.29/8.31 - Rank function 3: 25.29/8.31 RF for loc. 5: 0 25.29/8.31 RF for loc. 6: -1 25.29/8.31 Bound for (chained) transitions 1: 0 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (13) 25.29/8.31 YES 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (14) 25.29/8.31 Obligation: 25.29/8.31 SCC 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (15) SCC2IRS (SOUND) 25.29/8.31 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 25.29/8.31 Generated rules. Obtained 14 rulesP rules: 25.29/8.31 f_276(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 4) -> f_277(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 4) :|: 0 = 0 25.29/8.31 f_277(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 4) -> f_278(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 4) :|: 1 + v97 = v90 25.29/8.31 f_278(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 4) -> f_279(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: v98 <= v97 && 1 <= v97 && 2 <= v90 25.29/8.31 f_279(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_281(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_281(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_283(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_283(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_285(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_285(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_287(v90, v91, v92, v93, v94, 1, v98, v97, v105, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: v105 = 1 + v98 && 2 <= v105 25.29/8.31 f_287(v90, v91, v92, v93, v94, 1, v98, v97, v105, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_289(v90, v91, v92, v93, v94, 1, v98, v97, v105, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_289(v90, v91, v92, v93, v94, 1, v98, v97, v105, v96, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_291(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: 0 = 0 25.29/8.31 f_291(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_293(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: v105 = 1 + v98 25.29/8.31 f_293(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_295(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_295(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_297(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) :|: TRUE 25.29/8.31 f_297(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 2, 4) -> f_275(v90, v91, v92, v93, v94, 1, v98, v97, v105, v99, v100, v101, v102, v103, 0, 3, 4) :|: TRUE 25.29/8.31 f_275(v90, v91, v92, v93, v94, 1, v96, v97, v98, v99, v100, v101, v102, v103, 0, 3, 4) -> f_276(v90, v91, v92, v93, v94, 1, v98, v97, v96, v99, v100, v101, v102, v103, 0, 3, 4) :|: 0 = 0 25.29/8.31 Combined rules. Obtained 1 rulesP rules: 25.29/8.31 f_276(1 + v97:0, v91:0, v92:0, v93:0, v94:0, 1, v98:0, v97:0, v96:0, v99:0, v100:0, v101:0, v102:0, v103:0, 0, 3, 4) -> f_276(1 + v97:0, v91:0, v92:0, v93:0, v94:0, 1, 1 + v98:0, v97:0, v98:0, v99:0, v100:0, v101:0, v102:0, v103:0, 0, 3, 4) :|: v97:0 > 0 && v98:0 <= v97:0 && v98:0 > 0 25.29/8.31 Filtered unneeded arguments: 25.29/8.31 f_276(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f_276(x1, x7, x8) 25.29/8.31 Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.P rules: 25.29/8.31 f_276(sum~cons_1~v97:0, v98:0, v97:0) -> f_276(1 + v97:0, 1 + v98:0, v97:0) :|: v98:0 <= v97:0 && v98:0 > 0 && v97:0 > 0 && sum~cons_1~v97:0 = 1 + v97:0 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (16) 25.29/8.31 Obligation: 25.29/8.31 Rules: 25.29/8.31 f_276(sum~cons_1~v97:0, v98:0, v97:0) -> f_276(1 + v97:0, 1 + v98:0, v97:0) :|: v98:0 <= v97:0 && v98:0 > 0 && v97:0 > 0 && sum~cons_1~v97:0 = 1 + v97:0 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (17) IRS2T2 (EQUIVALENT) 25.29/8.31 Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: 25.29/8.31 25.29/8.31 (f_276_3,1) 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (18) 25.29/8.31 Obligation: 25.29/8.31 START: 0; 25.29/8.31 25.29/8.31 FROM: 0; 25.29/8.31 TO: 1; 25.29/8.31 25.29/8.31 FROM: 1; 25.29/8.31 oldX0 := x0; 25.29/8.31 oldX1 := x1; 25.29/8.31 oldX2 := x2; 25.29/8.31 assume(oldX1 <= oldX2 && oldX1 > 0 && oldX2 > 0 && oldX0 = 1 + oldX2); 25.29/8.31 x0 := 1 + oldX2; 25.29/8.31 x1 := 1 + oldX1; 25.29/8.31 x2 := oldX2; 25.29/8.31 TO: 1; 25.29/8.31 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (19) T2 (EQUIVALENT) 25.29/8.31 Initially, performed program simplifications using lexicographic rank functions: 25.29/8.31 * Removed transitions 1, 3, 4 using the following rank functions: 25.29/8.31 - Rank function 1: 25.29/8.31 RF for loc. 5: 1-2*x1+2*x2 25.29/8.31 RF for loc. 6: -2*x1+2*x2 25.29/8.31 Bound for (chained) transitions 3: 0 25.29/8.31 Bound for (chained) transitions 4: 0 25.29/8.31 - Rank function 2: 25.29/8.31 RF for loc. 5: 0 25.29/8.31 RF for loc. 6: -1 25.29/8.31 Bound for (chained) transitions 1: 0 25.29/8.31 25.29/8.31 ---------------------------------------- 25.29/8.31 25.29/8.31 (20) 25.29/8.31 YES 25.29/8.35 EOF