%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   9 unt;   1 nHn;  19 RR)
%            Number of literals    :   35 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c1,axiom,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ) ).

cnf(c6,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ) ).

cnf(c9,axiom,
    ( ~ some_english_sing
    | some_english_sing_not
    | ~ some_scotch_dance_not
    | ~ some_germans_play ) ).

cnf(c10,axiom,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ) ).

cnf(c13,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ) ).

cnf(c18,axiom,
    some_english_sing ).

cnf(c19,axiom,
    some_scotch_dance_not ).

cnf(prove_some_monitors_are_awake,negated_conjecture,
    ~ some_monitors_are_awake ).

cnf(refute_0_0,plain,
    ( ~ some_irish_fight_not
    | some_germans_play ),
    inference(resolve,[$cnf( some_scotch_dance_not )],[c19,c6]) ).

cnf(refute_0_1,plain,
    ( ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    inference(resolve,[$cnf( some_english_sing )],[c18,c10]) ).

cnf(refute_0_2,plain,
    some_monitors_are_not_awake,
    inference(resolve,[$cnf( some_monitors_are_awake )],[c13,prove_some_monitors_are_awake]) ).

cnf(refute_0_3,plain,
    some_irish_fight_not,
    inference(resolve,[$cnf( some_monitors_are_not_awake )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    some_germans_play,
    inference(resolve,[$cnf( some_irish_fight_not )],[refute_0_3,refute_0_0]) ).

cnf(refute_0_5,plain,
    ( ~ some_germans_play
    | ~ some_scotch_dance_not
    | some_english_sing_not ),
    inference(resolve,[$cnf( some_english_sing )],[c18,c9]) ).

cnf(refute_0_6,plain,
    ( ~ some_germans_play
    | some_english_sing_not ),
    inference(resolve,[$cnf( some_scotch_dance_not )],[c19,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ some_english_sing_not
    | some_monitors_are_awake ),
    inference(resolve,[$cnf( some_english_sing )],[c18,c1]) ).

cnf(refute_0_8,plain,
    ~ some_english_sing_not,
    inference(resolve,[$cnf( some_monitors_are_awake )],[refute_0_7,prove_some_monitors_are_awake]) ).

cnf(refute_0_9,plain,
    ~ some_germans_play,
    inference(resolve,[$cnf( some_english_sing_not )],[refute_0_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( some_germans_play )],[refute_0_4,refute_0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun May 29 00:43:41 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
% 0.14/0.35  
%------------------------------------------------------------------------------