%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:09:47 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  20   ~;  19   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    9 (;   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [A,B,C] :
      ( ~ subgroup_member(A)
      | ~ subgroup_member(B)
      | ~ product(A,inverse(B),C)
      | subgroup_member(C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    subgroup_member(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    subgroup_member(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    product(a,inverse(b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ subgroup_member(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,plain,
    ! [C] :
      ( ! [A,B] :
          ( ~ subgroup_member(A)
          | ~ subgroup_member(B)
          | ~ product(A,inverse(B),C) )
      | subgroup_member(C) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ~ subgroup_member(X0)
      | ~ subgroup_member(X1)
      | ~ product(X0,inverse(X1),X2)
      | subgroup_member(X2) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f31,plain,
    subgroup_member(a),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f32,plain,
    subgroup_member(b),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f33,plain,
    product(a,inverse(b),c),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f34,plain,
    ~ subgroup_member(c),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f112,plain,
    ( spl0_3
  <=> subgroup_member(a) ),
    introduced(split_symbol_definition) ).

fof(f114,plain,
    ( ~ subgroup_member(a)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f112]) ).

fof(f115,plain,
    ( spl0_4
  <=> subgroup_member(b) ),
    introduced(split_symbol_definition) ).

fof(f117,plain,
    ( ~ subgroup_member(b)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f115]) ).

fof(f118,plain,
    ( spl0_5
  <=> subgroup_member(c) ),
    introduced(split_symbol_definition) ).

fof(f119,plain,
    ( subgroup_member(c)
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f118]) ).

fof(f121,plain,
    ( ~ subgroup_member(a)
    | ~ subgroup_member(b)
    | subgroup_member(c) ),
    inference(resolution,[status(thm)],[f28,f33]) ).

fof(f122,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f121,f112,f115,f118]) ).

fof(f134,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f117,f32]) ).

fof(f135,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f134]) ).

fof(f137,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f114,f31]) ).

fof(f138,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f137]) ).

fof(f139,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f119,f34]) ).

fof(f140,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f139]) ).

fof(f141,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f122,f135,f138,f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 11:28:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38  % Elapsed time: 0.022272 seconds
% 0.20/0.38  % CPU time: 0.035496 seconds
% 0.20/0.38  % Memory used: 4.052 MB
%------------------------------------------------------------------------------