%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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  : 300s
% DateTime : Thu Aug 31 13:11:30 EDT 2023

% Result   : Unsatisfiable 0.51s 0.59s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   22 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  14   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    a_is_a_knight: $o ).

tff(decl_23,type,
    b_is_a_knight: $o ).

tff(decl_24,type,
    d_is_a_knight: $o ).

tff(decl_25,type,
    c_is_a_knight: $o ).

tff(decl_26,type,
    e_is_a_knight: $o ).

cnf(c1,axiom,
    ( ~ a_is_a_knight
    | ~ b_is_a_knight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

cnf(c18,negated_conjecture,
    b_is_a_knight,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).

cnf(c17,axiom,
    ( a_is_a_knight
    | ~ c_is_a_knight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).

cnf(c5,axiom,
    ( c_is_a_knight
    | d_is_a_knight
    | ~ b_is_a_knight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).

cnf(c16,axiom,
    ( a_is_a_knight
    | e_is_a_knight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).

cnf(c10,axiom,
    ( c_is_a_knight
    | ~ e_is_a_knight
    | ~ d_is_a_knight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

cnf(c_0_6,axiom,
    ( ~ a_is_a_knight
    | ~ b_is_a_knight ),
    c1 ).

cnf(c_0_7,negated_conjecture,
    b_is_a_knight,
    c18 ).

cnf(c_0_8,axiom,
    ( a_is_a_knight
    | ~ c_is_a_knight ),
    c17 ).

cnf(c_0_9,plain,
    ~ a_is_a_knight,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,axiom,
    ( c_is_a_knight
    | d_is_a_knight
    | ~ b_is_a_knight ),
    c5 ).

cnf(c_0_11,plain,
    ~ c_is_a_knight,
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,axiom,
    ( a_is_a_knight
    | e_is_a_knight ),
    c16 ).

cnf(c_0_13,axiom,
    ( c_is_a_knight
    | ~ e_is_a_knight
    | ~ d_is_a_knight ),
    c10 ).

cnf(c_0_14,plain,
    d_is_a_knight,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7])]),c_0_11]) ).

cnf(c_0_15,plain,
    e_is_a_knight,
    inference(sr,[status(thm)],[c_0_12,c_0_9]) ).

cnf(c_0_16,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PUZ009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n009.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    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 22:47:20 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.51/0.57  start to proof: theBenchmark
% 0.51/0.59  % Version  : CSE_E---1.5
% 0.51/0.59  % Problem  : theBenchmark.p
% 0.51/0.59  % Proof found
% 0.51/0.59  % SZS status Theorem for theBenchmark.p
% 0.51/0.59  % SZS output start Proof
% See solution above
% 0.51/0.59  % Total time : 0.003000 s
% 0.51/0.59  % SZS output end Proof
% 0.51/0.59  % Total time : 0.005000 s
%------------------------------------------------------------------------------