TSTP Solution File: PUZ014-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 : Wed May 31 12:31:46 EDT 2023

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   62 (  10 unt;   0 def)
%            Number of atoms       :  150 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  160 (  72   ~;  75   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   27 (  26 usr;  27 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ( ~ some_scotch_dance
    | ~ some_irish_fight
    | some_welsh_eat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( ~ some_germans_play
    | some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake
    | some_irish_fight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ( ~ some_germans_play
    | some_scotch_dance
    | some_welsh_eat_not ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ( ~ some_english_sing
    | some_english_sing_not
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ( ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    some_english_sing,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    some_scotch_dance_not,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    some_monitors_are_not_awake,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f22,plain,
    ( ~ some_scotch_dance
    | ~ some_irish_fight
    | some_welsh_eat ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f23,plain,
    ( ~ some_germans_play
    | some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f24,plain,
    ( ~ some_monitors_are_awake
    | ~ some_monitors_are_not_awake
    | some_irish_fight ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f25,plain,
    ( ~ some_germans_play
    | some_scotch_dance
    | some_welsh_eat_not ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f26,plain,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f27,plain,
    ( ~ some_monitors_are_awake
    | ~ some_welsh_eat
    | ~ some_scotch_dance ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f28,plain,
    ( ~ some_germans_play_not
    | ~ some_welsh_eat_not
    | ~ some_irish_fight ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f29,plain,
    ( ~ some_english_sing
    | some_english_sing_not
    | ~ some_scotch_dance_not
    | ~ some_germans_play ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f30,plain,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f31,plain,
    ( ~ some_monitors_are_awake
    | ~ some_of_the_eleven_are_not_oiling
    | some_scotch_dance ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f38,plain,
    some_english_sing,
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f39,plain,
    some_scotch_dance_not,
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f40,plain,
    some_monitors_are_not_awake,
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f41,plain,
    ( spl0_0
  <=> some_english_sing ),
    introduced(split_symbol_definition) ).

fof(f43,plain,
    ( ~ some_english_sing
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f41]) ).

fof(f44,plain,
    ( spl0_1
  <=> some_english_sing_not ),
    introduced(split_symbol_definition) ).

fof(f47,plain,
    ( spl0_2
  <=> some_monitors_are_awake ),
    introduced(split_symbol_definition) ).

fof(f50,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f21,f41,f44,f47]) ).

fof(f51,plain,
    ( spl0_3
  <=> some_scotch_dance ),
    introduced(split_symbol_definition) ).

fof(f54,plain,
    ( spl0_4
  <=> some_irish_fight ),
    introduced(split_symbol_definition) ).

fof(f57,plain,
    ( spl0_5
  <=> some_welsh_eat ),
    introduced(split_symbol_definition) ).

fof(f60,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f22,f51,f54,f57]) ).

fof(f61,plain,
    ( spl0_6
  <=> some_germans_play ),
    introduced(split_symbol_definition) ).

fof(f64,plain,
    ( spl0_7
  <=> some_germans_play_not ),
    introduced(split_symbol_definition) ).

fof(f67,plain,
    ( spl0_8
  <=> some_of_the_eleven_are_not_oiling ),
    introduced(split_symbol_definition) ).

fof(f70,plain,
    ( ~ spl0_6
    | spl0_7
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f23,f61,f64,f67]) ).

fof(f71,plain,
    ( spl0_9
  <=> some_monitors_are_not_awake ),
    introduced(split_symbol_definition) ).

fof(f73,plain,
    ( ~ some_monitors_are_not_awake
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f71]) ).

fof(f74,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f24,f47,f71,f54]) ).

fof(f75,plain,
    ( spl0_10
  <=> some_welsh_eat_not ),
    introduced(split_symbol_definition) ).

fof(f78,plain,
    ( ~ spl0_6
    | spl0_3
    | spl0_10 ),
    inference(split_clause,[status(thm)],[f25,f61,f51,f75]) ).

fof(f79,plain,
    ( spl0_11
  <=> some_scotch_dance_not ),
    introduced(split_symbol_definition) ).

fof(f81,plain,
    ( ~ some_scotch_dance_not
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f79]) ).

fof(f82,plain,
    ( spl0_12
  <=> some_irish_fight_not ),
    introduced(split_symbol_definition) ).

fof(f85,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f26,f79,f82,f61]) ).

fof(f86,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f27,f47,f57,f51]) ).

fof(f87,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f28,f64,f75,f54]) ).

fof(f88,plain,
    ( ~ spl0_0
    | spl0_1
    | ~ spl0_11
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f29,f41,f44,f79,f61]) ).

fof(f89,plain,
    ( ~ spl0_0
    | ~ spl0_9
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f30,f41,f71,f82]) ).

fof(f90,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f31,f47,f67,f51]) ).

fof(f97,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f43,f38]) ).

fof(f98,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f97]) ).

fof(f99,plain,
    ( $false
    | spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f73,f40]) ).

fof(f100,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f99]) ).

fof(f101,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f39]) ).

fof(f102,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f101]) ).

fof(f103,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f50,f60,f70,f74,f78,f85,f86,f87,f88,f89,f90,f98,f100,f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : PUZ014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n010.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  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:21:07 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.009802 seconds
% 0.10/0.48  % CPU time: 0.018630 seconds
% 0.10/0.48  % Memory used: 1.721 MB
%------------------------------------------------------------------------------