Stage 3 CASE12: Proof

[PROOF CHECKLIST]
1. Claim -> Evidence line -> Pass/Fail.
2. Reproduction command list.
3. Counterexample path.
4. Closure check: no orphan claim.

[PRIMARY REPORT LINKS]
- [puzzle_verify_trace_report.md](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/case12_harder_puzzle/reports/puzzle_verify_trace_report.md)
- [user_puzzle_trace_report.md](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/case12_harder_puzzle/reports/user_puzzle_trace_report.md)

[PRIMARY DMESG LINKS]
- [puzzle_verify_dmesg.txt](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/case12_harder_puzzle/reports/puzzle_verify_dmesg.txt)
- [user_puzzle_dmesg.txt](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/case12_harder_puzzle/reports/user_puzzle_dmesg.txt)

[SECONDARY PROOF INPUTS]
- worksheet index: [STAGE3_WORKSHEET_INDEX](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/planning/STAGE3_WORKSHEET_INDEX.md)
- axiom index: [STAGE3_AXIOM_WORKSHEET_INDEX](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/planning/STAGE3_AXIOM_WORKSHEET_INDEX.md)
- hard index: [STAGE3_AXIOM_HARD_WORKSHEET_INDEX](https://github.com/raikrahul/what-happens-when-open-is-called/blob/main/kernel/user/stage3/planning/STAGE3_AXIOM_HARD_WORKSHEET_INDEX.md)

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[AUTO] case=case12

[USERDIR] kernel/user/stage3/case12_harder_puzzle

================================================================================
[EMBED] puzzle_verify_trace_report.md
[SOURCE] kernel/user/stage3/case12_harder_puzzle/reports/puzzle_verify_trace_report.md
================================================================================
# Trace Report: puzzle_verify.c

- Userspace source: `kernel/user/stage3/case12_harder_puzzle/puzzle_verify.c`
- Driver source: `kernel/drivers/stage3/case12_harder_puzzle/trace_puzzle_verify/trace_puzzle_verify.c`
- Module: `trace_puzzle_verify`
- Binary: `kernel/user/stage3/case12_harder_puzzle/puzzle_verify`
- Run timestamp: `2026-02-15T23:32:06`
- Final status: `pass_probe_hits`

## Probe Counts
- do_filp_open.entry: 8
- do_filp_open.ret: 8
- __d_alloc.entry: 0
- __d_alloc.ret: 0

## Return Signature Counts
- ERR_PTR(-ENOENT) observed (fffffffffffffffe): 6
- Non-error pointer returns observed: 2

## Commands

make -C kernel/drivers/stage3/case12_harder_puzzle/trace_puzzle_verify
kernel/user/stage3/case12_harder_puzzle/puzzle_verify
sudo dmesg -C
sudo insmod kernel/drivers/stage3/case12_harder_puzzle/trace_puzzle_verify/trace_puzzle_verify.ko target_comm="puzzle_verify"
sudo rmmod trace_puzzle_verify


## Dmesg
`kernel/user/stage3/case12_harder_puzzle/reports/puzzle_verify_dmesg.txt`

================================================================================
[EMBED] user_puzzle_trace_report.md
[SOURCE] kernel/user/stage3/case12_harder_puzzle/reports/user_puzzle_trace_report.md
================================================================================
# Trace Report: user_puzzle.c

- Userspace source: `kernel/user/stage3/case12_harder_puzzle/user_puzzle.c`
- Driver source: `kernel/drivers/stage3/case12_harder_puzzle/trace_user_puzzle/trace_user_puzzle.c`
- Module: `trace_user_puzzle`
- Binary: `kernel/user/stage3/case12_harder_puzzle/user_puzzle`
- Run timestamp: `2026-02-15T23:32:07`
- Final status: `pass_probe_hits`

## Probe Counts
- do_filp_open.entry: 11
- do_filp_open.ret: 11
- __d_alloc.entry: 0
- __d_alloc.ret: 0

## Return Signature Counts
- ERR_PTR(-ENOENT) observed (fffffffffffffffe): 6
- Non-error pointer returns observed: 5

## Commands

make -C kernel/drivers/stage3/case12_harder_puzzle/trace_user_puzzle
kernel/user/stage3/case12_harder_puzzle/user_puzzle
sudo dmesg -C
sudo insmod kernel/drivers/stage3/case12_harder_puzzle/trace_user_puzzle/trace_user_puzzle.ko target_comm="user_puzzle"
sudo rmmod trace_user_puzzle


## Dmesg
`kernel/user/stage3/case12_harder_puzzle/reports/user_puzzle_dmesg.txt`

================================================================================
[EMBED] puzzle_verify_dmesg.txt
[SOURCE] kernel/user/stage3/case12_harder_puzzle/reports/puzzle_verify_dmesg.txt
================================================================================
[38307.617569] [trace_puzzle_verify] loaded target_comm=puzzle_verify user=kernel/user/stage3/case12_harder_puzzle/puzzle_verify.c
[38307.621140] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7cf4
[38307.621162] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=fffffffffffffffe
[38307.621177] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7d24
[38307.621191] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=fffffffffffffffe
[38307.621205] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7bd4
[38307.621218] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=fffffffffffffffe
[38307.621236] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7d94
[38307.621244] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=fffffffffffffffe
[38307.621253] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7b74
[38307.621283] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=fffffffffffffffe
[38307.621293] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7c84
[38307.621301] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=fffffffffffffffe
[38307.621308] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7dc4
[38307.621319] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=ffff8ddc28873d80
[38307.621361] [trace_puzzle_verify] do_filp_open.entry pid=179519 comm=puzzle_verify dfd=4294967196 pathname=ffff8dda082f2000 op=ffffd0c9407f7ad4
[38307.621371] [trace_puzzle_verify] do_filp_open.ret pid=179519 comm=puzzle_verify ret=ffff8ddc288733c0

================================================================================
[EMBED] user_puzzle_dmesg.txt
[SOURCE] kernel/user/stage3/case12_harder_puzzle/reports/user_puzzle_dmesg.txt
================================================================================
[38308.723970] [trace_user_puzzle] loaded target_comm=user_puzzle user=kernel/user/stage3/case12_harder_puzzle/user_puzzle.c
[38308.727215] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fcf4
[38308.727236] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=fffffffffffffffe
[38308.727250] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fcf4
[38308.727261] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=fffffffffffffffe
[38308.727273] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fd84
[38308.727284] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=fffffffffffffffe
[38308.727299] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fc84
[38308.727307] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=fffffffffffffffe
[38308.727313] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fca4
[38308.727321] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=fffffffffffffffe
[38308.727327] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fda4
[38308.727335] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=fffffffffffffffe
[38308.727342] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2faf4
[38308.727352] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=ffff8dda07ba0c00
[38308.727385] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fb24
[38308.727395] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=ffff8dda07ba0d80
[38308.727731] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fe24
[38308.727801] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=ffff8dda07ba0c00
[38308.727878] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fc24
[38308.727890] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=ffff8dda07ba0c00
[38308.727990] [trace_user_puzzle] do_filp_open.entry pid=179776 comm=user_puzzle dfd=4294967196 pathname=ffff8dda13f5a000 op=ffffd0c940e2fd34
[38308.728005] [trace_user_puzzle] do_filp_open.ret pid=179776 comm=user_puzzle ret=ffff8dda07ba0c00
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