%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 18:20:26 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   3 nHn;  14 RR)
%            Number of literals    :   23 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    6 (   5 usr;   6 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c3,axiom,
    ( ~ b_is_a_knight
    | ~ a_is_a_knight ) ).

cnf(c10,axiom,
    ( ~ e_is_a_knight
    | ~ d_is_a_knight
    | c_is_a_knight ) ).

cnf(c14,axiom,
    ( d_is_a_knight
    | ~ b_is_a_knight
    | c_is_a_knight ) ).

cnf(c16,axiom,
    ( a_is_a_knight
    | e_is_a_knight ) ).

cnf(c17,axiom,
    ( a_is_a_knight
    | ~ c_is_a_knight ) ).

cnf(c18,negated_conjecture,
    b_is_a_knight ).

cnf(refute_0_0,plain,
    ( c_is_a_knight
    | d_is_a_knight ),
    inference(resolve,[$cnf( b_is_a_knight )],[c18,c14]) ).

cnf(refute_0_1,plain,
    ~ a_is_a_knight,
    inference(resolve,[$cnf( b_is_a_knight )],[c18,c3]) ).

cnf(refute_0_2,plain,
    ~ c_is_a_knight,
    inference(resolve,[$cnf( a_is_a_knight )],[c17,refute_0_1]) ).

cnf(refute_0_3,plain,
    d_is_a_knight,
    inference(resolve,[$cnf( c_is_a_knight )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ e_is_a_knight
    | c_is_a_knight ),
    inference(resolve,[$cnf( d_is_a_knight )],[refute_0_3,c10]) ).

cnf(refute_0_5,plain,
    e_is_a_knight,
    inference(resolve,[$cnf( a_is_a_knight )],[c16,refute_0_1]) ).

cnf(refute_0_6,plain,
    c_is_a_knight,
    inference(resolve,[$cnf( e_is_a_knight )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( c_is_a_knight )],[refute_0_6,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : PUZ009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 03:16:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------