%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : REL003-1 : TPTP v8.1.2. Released v4.0.0.
% 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 12:32:12 EDT 2023

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   50 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   44 (  20   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [A] : converse(converse(A)) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ( join(sk1,sk2) = sk2
    | join(converse(sk1),converse(sk2)) = converse(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ( join(sk1,sk2) != sk2
    | join(converse(sk1),converse(sk2)) != converse(sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f24,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f29,plain,
    ( join(sk1,sk2) = sk2
    | join(converse(sk1),converse(sk2)) = converse(sk2) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f30,plain,
    ( join(sk1,sk2) != sk2
    | join(converse(sk1),converse(sk2)) != converse(sk2) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f31,plain,
    ( spl0_0
  <=> join(sk1,sk2) = sk2 ),
    introduced(split_symbol_definition) ).

fof(f32,plain,
    ( join(sk1,sk2) = sk2
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f31]) ).

fof(f33,plain,
    ( join(sk1,sk2) != sk2
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f31]) ).

fof(f34,plain,
    ( spl0_1
  <=> join(converse(sk1),converse(sk2)) = converse(sk2) ),
    introduced(split_symbol_definition) ).

fof(f35,plain,
    ( join(converse(sk1),converse(sk2)) = converse(sk2)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f34]) ).

fof(f36,plain,
    ( join(converse(sk1),converse(sk2)) != converse(sk2)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f34]) ).

fof(f37,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f29,f31,f34]) ).

fof(f38,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f30,f31,f34]) ).

fof(f816,plain,
    ( converse(join(sk1,sk2)) = converse(sk2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f24,f35]) ).

fof(f840,plain,
    ( converse(converse(sk2)) = join(sk1,sk2)
    | ~ spl0_1 ),
    inference(paramodulation,[status(thm)],[f816,f23]) ).

fof(f841,plain,
    ( sk2 = join(sk1,sk2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f23,f840]) ).

fof(f842,plain,
    ( $false
    | spl0_0
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f841,f33]) ).

fof(f843,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f842]) ).

fof(f844,plain,
    ( converse(join(sk1,sk2)) != converse(sk2)
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f24,f36]) ).

fof(f858,plain,
    ( converse(sk2) != converse(sk2)
    | ~ spl0_0
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f32,f844]) ).

fof(f859,plain,
    ( $false
    | ~ spl0_0
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f858]) ).

fof(f860,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f859]) ).

fof(f861,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f37,f38,f843,f860]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL003-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:53:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.20/0.47  % Refutation found
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.47  % Elapsed time: 0.121751 seconds
% 0.20/0.47  % CPU time: 0.086371 seconds
% 0.20/0.47  % Memory used: 9.623 MB
%------------------------------------------------------------------------------