TSTP Solution File: PUZ013-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  10 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   77 (  34   ~;  36   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   15 (  14 usr;  15 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(f6,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    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(f13,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    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_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(f26,plain,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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(f33,plain,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

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_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(f48,plain,
    ( some_monitors_are_awake
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f47]) ).

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

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

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

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(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(f92,plain,
    ( spl0_9
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f33,f71,f47]) ).

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_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f48,f40]) ).

fof(f100,plain,
    ~ spl0_2,
    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,f85,f88,f89,f92,f98,f100,f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n016.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  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:59:59 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.57  % Elapsed time: 0.014023 seconds
% 0.25/0.57  % CPU time: 0.026856 seconds
% 0.25/0.57  % Memory used: 1.963 MB
%------------------------------------------------------------------------------