%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n032.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 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   42 (  13 unt;   8 nHn;  42 RR)
%            Number of literals    :   85 (   0 equ;  40 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   14 (  13 usr;  14 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(c2,axiom,
    ( ~ some_scotch_dance
    | ~ some_irish_fight
    | some_welsh_eat ) ).

cnf(c3,axiom,
    ( ~ some_germans_play
    | some_germans_play_not
    | some_of_the_eleven_are_not_oiling ) ).

cnf(c4,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake
    | some_irish_fight ) ).

cnf(c5,axiom,
    ( ~ some_germans_play
    | some_scotch_dance
    | some_welsh_eat_not ) ).

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

cnf(c7,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ) ).

cnf(c8,axiom,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ) ).

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(c11,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ) ).

cnf(c16,axiom,
    ( some_welsh_eat
    | some_welsh_eat_not ) ).

cnf(c18,axiom,
    some_english_sing ).

cnf(c19,axiom,
    some_scotch_dance_not ).

cnf(prove_all_monitors_are_awake,negated_conjecture,
    some_monitors_are_not_awake ).

cnf(refute_0_0,plain,
    ( ~ some_english_sing_not
    | some_monitors_are_awake ),
    inference(resolve,[$cnf( some_english_sing )],[c18,c1]) ).

cnf(refute_0_1,plain,
    ( ~ some_germans_play
    | ~ some_scotch_dance_not
    | some_english_sing_not ),
    inference(resolve,[$cnf( some_english_sing )],[c18,c9]) ).

cnf(refute_0_2,plain,
    ( ~ some_germans_play
    | some_english_sing_not ),
    inference(resolve,[$cnf( some_scotch_dance_not )],[c19,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ some_irish_fight_not
    | some_germans_play ),
    inference(resolve,[$cnf( some_scotch_dance_not )],[c19,c6]) ).

cnf(refute_0_4,plain,
    ( ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    inference(resolve,[$cnf( some_english_sing )],[c18,c10]) ).

cnf(refute_0_5,plain,
    some_irish_fight_not,
    inference(resolve,[$cnf( some_monitors_are_not_awake )],[prove_all_monitors_are_awake,refute_0_4]) ).

cnf(refute_0_6,plain,
    some_germans_play,
    inference(resolve,[$cnf( some_irish_fight_not )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    some_english_sing_not,
    inference(resolve,[$cnf( some_germans_play )],[refute_0_6,refute_0_2]) ).

cnf(refute_0_8,plain,
    some_monitors_are_awake,
    inference(resolve,[$cnf( some_english_sing_not )],[refute_0_7,refute_0_0]) ).

cnf(refute_0_9,plain,
    ( ~ some_scotch_dance
    | ~ some_welsh_eat ),
    inference(resolve,[$cnf( some_monitors_are_awake )],[refute_0_8,c7]) ).

cnf(refute_0_10,plain,
    ( ~ some_monitors_are_not_awake
    | some_irish_fight ),
    inference(resolve,[$cnf( some_monitors_are_awake )],[refute_0_8,c4]) ).

cnf(refute_0_11,plain,
    some_irish_fight,
    inference(resolve,[$cnf( some_monitors_are_not_awake )],[prove_all_monitors_are_awake,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not ),
    inference(resolve,[$cnf( some_irish_fight )],[refute_0_11,c8]) ).

cnf(refute_0_13,plain,
    ( ~ some_germans_play_not
    | some_welsh_eat ),
    inference(resolve,[$cnf( some_welsh_eat_not )],[c16,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    inference(resolve,[$cnf( some_germans_play )],[refute_0_6,c3]) ).

cnf(refute_0_15,plain,
    ( ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ),
    inference(resolve,[$cnf( some_monitors_are_awake )],[refute_0_8,c11]) ).

cnf(refute_0_16,plain,
    ( some_germans_play_not
    | some_scotch_dance ),
    inference(resolve,[$cnf( some_of_the_eleven_are_not_oiling )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ some_irish_fight
    | some_germans_play_not
    | some_welsh_eat ),
    inference(resolve,[$cnf( some_scotch_dance )],[refute_0_16,c2]) ).

cnf(refute_0_18,plain,
    ( some_germans_play_not
    | some_welsh_eat ),
    inference(resolve,[$cnf( some_irish_fight )],[refute_0_11,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ some_scotch_dance
    | some_germans_play_not ),
    inference(resolve,[$cnf( some_welsh_eat )],[refute_0_18,refute_0_9]) ).

cnf(refute_0_20,plain,
    some_germans_play_not,
    inference(resolve,[$cnf( some_scotch_dance )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    some_welsh_eat,
    inference(resolve,[$cnf( some_germans_play_not )],[refute_0_20,refute_0_13]) ).

cnf(refute_0_22,plain,
    ~ some_scotch_dance,
    inference(resolve,[$cnf( some_welsh_eat )],[refute_0_21,refute_0_9]) ).

cnf(refute_0_23,plain,
    ( some_scotch_dance
    | some_welsh_eat_not ),
    inference(resolve,[$cnf( some_germans_play )],[refute_0_6,c5]) ).

cnf(refute_0_24,plain,
    ( ~ some_germans_play_not
    | some_scotch_dance ),
    inference(resolve,[$cnf( some_welsh_eat_not )],[refute_0_23,refute_0_12]) ).

cnf(refute_0_25,plain,
    some_scotch_dance,
    inference(resolve,[$cnf( some_germans_play_not )],[refute_0_20,refute_0_24]) ).

cnf(refute_0_26,plain,
    $false,
    inference(resolve,[$cnf( some_scotch_dance )],[refute_0_25,refute_0_22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.08  % Command  : metis --show proof --show saturation %s
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Sun May 29 02:10:41 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.07/0.27  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27  
% 0.07/0.27  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.07/0.27  
%------------------------------------------------------------------------------