%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 18:20:52 EDT 2022

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   17 (   5 unt;   4 nHn;  16 RR)
%            Number of literals    :   29 (   0 equ;  13 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(everyone_a_knight_or_knave,axiom,
    ( truth(isa(P,knight))
    | truth(isa(P,knave)) ) ).

cnf(query,negated_conjecture,
    ( ~ truth(isa(asked,X))
    | ~ truth(isa(other,Y)) ) ).

cnf(refute_0_0,plain,
    ( truth(isa(asked,knave))
    | truth(isa(asked,knight)) ),
    inference(subst,[],[everyone_a_knight_or_knave:[bind(P,$fot(asked))]]) ).

cnf(refute_0_1,plain,
    ( ~ truth(isa(asked,X))
    | ~ truth(isa(other,knave)) ),
    inference(subst,[],[query:[bind(Y,$fot(knave))]]) ).

cnf(refute_0_2,plain,
    ( truth(isa(other,knave))
    | truth(isa(other,knight)) ),
    inference(subst,[],[everyone_a_knight_or_knave:[bind(P,$fot(other))]]) ).

cnf(refute_0_3,plain,
    ( ~ truth(isa(asked,X_10))
    | ~ truth(isa(other,knight)) ),
    inference(subst,[],[query:[bind(X,$fot(X_10)),bind(Y,$fot(knight))]]) ).

cnf(refute_0_4,plain,
    ( ~ truth(isa(asked,X_10))
    | truth(isa(other,knave)) ),
    inference(resolve,[$cnf( truth(isa(other,knight)) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ truth(isa(asked,knight))
    | truth(isa(other,knave)) ),
    inference(subst,[],[refute_0_4:[bind(X_10,$fot(knight))]]) ).

cnf(refute_0_6,plain,
    ( truth(isa(asked,knave))
    | truth(isa(other,knave)) ),
    inference(resolve,[$cnf( truth(isa(asked,knight)) )],[refute_0_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ truth(isa(asked,X))
    | truth(isa(asked,knave)) ),
    inference(resolve,[$cnf( truth(isa(other,knave)) )],[refute_0_6,refute_0_1]) ).

cnf(refute_0_8,plain,
    ( ~ truth(isa(asked,knight))
    | truth(isa(asked,knave)) ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(knight))]]) ).

cnf(refute_0_9,plain,
    truth(isa(asked,knave)),
    inference(resolve,[$cnf( truth(isa(asked,knight)) )],[refute_0_0,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ truth(isa(asked,knave))
    | truth(isa(other,knave)) ),
    inference(subst,[],[refute_0_4:[bind(X_10,$fot(knave))]]) ).

cnf(refute_0_11,plain,
    truth(isa(other,knave)),
    inference(resolve,[$cnf( truth(isa(asked,knave)) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ~ truth(isa(asked,X)),
    inference(resolve,[$cnf( truth(isa(other,knave)) )],[refute_0_11,refute_0_1]) ).

cnf(refute_0_13,plain,
    ~ truth(isa(asked,knave)),
    inference(subst,[],[refute_0_12:[bind(X,$fot(knave))]]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( truth(isa(asked,knave)) )],[refute_0_9,refute_0_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun May 29 00:48:13 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34  
% 0.11/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.34  
%------------------------------------------------------------------------------