%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:22:43 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 45 ( 27 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dated_on_blue_paper,axiom,
( on_blue_paper
| ~ dated ),
file('theBenchmark.p',dated_on_blue_paper) ).
cnf(c_1,plain,
( on_blue_paper
| ~ dated ),
inference(clausify,[status(thm)],[dated_on_blue_paper]) ).
fof(black_ink_in_third_person,axiom,
( ~ in_black_ink
| in_third_person ),
file('theBenchmark.p',black_ink_in_third_person) ).
cnf(c_3,plain,
( ~ in_black_ink
| in_third_person ),
inference(clausify,[status(thm)],[black_ink_in_third_person]) ).
fof(not_filed_if_read,axiom,
( ~ filed
| ~ can_be_read ),
file('theBenchmark.p',not_filed_if_read) ).
cnf(c_4,plain,
( ~ filed
| ~ can_be_read ),
inference(clausify,[status(thm)],[not_filed_if_read]) ).
fof(dated_if_on_one_sheet,axiom,
( dated
| ~ on_one_sheet ),
file('theBenchmark.p',dated_if_on_one_sheet) ).
cnf(c_5,plain,
( dated
| ~ on_one_sheet ),
inference(clausify,[status(thm)],[dated_if_on_one_sheet]) ).
fof(not_crossed_in_black_ink,axiom,
( in_black_ink
| crossed ),
file('theBenchmark.p',not_crossed_in_black_ink) ).
cnf(c_6,plain,
( in_black_ink
| crossed ),
inference(clausify,[status(thm)],[not_crossed_in_black_ink]) ).
fof(brown_starts_with_sir,axiom,
( begins_with_dear_sir
| ~ by_brown ),
file('theBenchmark.p',brown_starts_with_sir) ).
cnf(c_7,plain,
( begins_with_dear_sir
| ~ by_brown ),
inference(clausify,[status(thm)],[brown_starts_with_sir]) ).
fof(filed_if_on_blue_paper,axiom,
( filed
| ~ on_blue_paper ),
file('theBenchmark.p',filed_if_on_blue_paper) ).
cnf(c_8,plain,
( filed
| ~ on_blue_paper ),
inference(clausify,[status(thm)],[filed_if_on_blue_paper]) ).
fof(on_one_sheet_if_crossed,axiom,
( ~ crossed
| on_one_sheet ),
file('theBenchmark.p',on_one_sheet_if_crossed) ).
cnf(c_9,plain,
( ~ crossed
| on_one_sheet ),
inference(clausify,[status(thm)],[on_one_sheet_if_crossed]) ).
fof(no_dear_sirs_in_third_person,axiom,
( ~ in_third_person
| ~ begins_with_dear_sir ),
file('theBenchmark.p',no_dear_sirs_in_third_person) ).
cnf(c_10,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(clausify,[status(thm)],[no_dear_sirs_in_third_person]) ).
fof(letter_by_brown,axiom,
by_brown,
file('theBenchmark.p',letter_by_brown) ).
cnf(c_11,plain,
by_brown,
inference(clausify,[status(thm)],[letter_by_brown]) ).
fof(prove_it_cannot_be_read,axiom,
can_be_read,
file('theBenchmark.p',prove_it_cannot_be_read) ).
cnf(c_12,plain,
can_be_read,
inference(clausify,[status(thm)],[prove_it_cannot_be_read]) ).
cnf(c_13,plain,
begins_with_dear_sir,
inference(resolve,[status(thm)],[c_11,c_7]) ).
cnf(c_14,plain,
~ filed,
inference(resolve,[status(thm)],[c_12,c_4]) ).
cnf(c_15,plain,
~ in_third_person,
inference(resolve,[status(thm)],[c_13,c_10]) ).
cnf(c_16,plain,
~ on_blue_paper,
inference(resolve,[status(thm)],[c_14,c_8]) ).
cnf(c_17,plain,
~ in_black_ink,
inference(resolve,[status(thm)],[c_15,c_3]) ).
cnf(c_18,plain,
~ dated,
inference(resolve,[status(thm)],[c_16,c_1]) ).
cnf(c_19,plain,
crossed,
inference(resolve,[status(thm)],[c_17,c_6]) ).
cnf(c_20,plain,
~ on_one_sheet,
inference(resolve,[status(thm)],[c_18,c_5]) ).
cnf(c_22,plain,
~ crossed,
inference(resolve,[status(thm)],[c_20,c_9]) ).
cnf(c_21,plain,
$false,
inference(resolve,[status(thm)],[c_19,c_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 05:08:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 963782 was started by sandbox on n001,
% 0.12/0.38 % Sat Sep 26 05:08:41 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.38
% 0.12/0.38 % From the command line: assign(max_seconds, 300).
% 0.12/0.39
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39
% 0.12/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.39 % Length of proof is 20.
% 0.12/0.39 % Level of proof is 5.
% 0.12/0.39 % Maximum clause weight is 2.000.
% 0.12/0.39 % Given clauses 0.
% 0.12/0.39
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------