%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:20:25 EDT 2022

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (  12 unt;   1 nHn;  21 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    2 (   1 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)

% Comments : 
%------------------------------------------------------------------------------
cnf(dated_on_blue_paper,axiom,
    ( ~ dated
    | on_blue_paper ) ).

cnf(black_ink_in_third_person,axiom,
    ( in_third_person
    | ~ in_black_ink ) ).

cnf(not_filed_if_read,axiom,
    ( ~ can_be_read
    | ~ filed ) ).

cnf(dated_if_on_one_sheet,axiom,
    ( ~ on_one_sheet
    | dated ) ).

cnf(not_crossed_in_black_ink,axiom,
    ( crossed
    | in_black_ink ) ).

cnf(brown_starts_with_sir,axiom,
    ( ~ by_brown
    | begins_with_dear_sir ) ).

cnf(filed_if_on_blue_paper,axiom,
    ( ~ on_blue_paper
    | filed ) ).

cnf(on_one_sheet_if_crossed,axiom,
    ( on_one_sheet
    | ~ crossed ) ).

cnf(no_dear_sirs_in_third_person,axiom,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ) ).

cnf(letter_by_brown,hypothesis,
    by_brown ).

cnf(prove_it_cannot_be_read,negated_conjecture,
    can_be_read ).

cnf(refute_0_0,plain,
    begins_with_dear_sir,
    inference(resolve,[$cnf( by_brown )],[letter_by_brown,brown_starts_with_sir]) ).

cnf(refute_0_1,plain,
    ~ in_third_person,
    inference(resolve,[$cnf( begins_with_dear_sir )],[refute_0_0,no_dear_sirs_in_third_person]) ).

cnf(refute_0_2,plain,
    ~ in_black_ink,
    inference(resolve,[$cnf( in_third_person )],[black_ink_in_third_person,refute_0_1]) ).

cnf(refute_0_3,plain,
    crossed,
    inference(resolve,[$cnf( in_black_ink )],[not_crossed_in_black_ink,refute_0_2]) ).

cnf(refute_0_4,plain,
    on_one_sheet,
    inference(resolve,[$cnf( crossed )],[refute_0_3,on_one_sheet_if_crossed]) ).

cnf(refute_0_5,plain,
    dated,
    inference(resolve,[$cnf( on_one_sheet )],[refute_0_4,dated_if_on_one_sheet]) ).

cnf(refute_0_6,plain,
    on_blue_paper,
    inference(resolve,[$cnf( dated )],[refute_0_5,dated_on_blue_paper]) ).

cnf(refute_0_7,plain,
    ~ filed,
    inference(resolve,[$cnf( can_be_read )],[prove_it_cannot_be_read,not_filed_if_read]) ).

cnf(refute_0_8,plain,
    ~ on_blue_paper,
    inference(resolve,[$cnf( filed )],[filed_if_on_blue_paper,refute_0_7]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( on_blue_paper )],[refute_0_6,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun May 29 02:13:38 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  
% 0.14/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36  
%------------------------------------------------------------------------------