%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:32:31 EDT 2023

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  13 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   8   ~;   0   |;   6   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (;  16   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( ( join(X0,X1) = X1
        & join(X2,X1) = X1 )
     => join(join(X0,X2),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( join(X0,X1) = X1
          & join(X2,X1) = X1 )
       => join(join(X0,X2),X1) = X1 ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f17,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f29,plain,
    ? [X0,X1,X2] :
      ( join(X0,X1) = X1
      & join(X2,X1) = X1
      & join(join(X0,X2),X1) != X1 ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f30,plain,
    ( join(sk0_0,sk0_1) = sk0_1
    & join(sk0_2,sk0_1) = sk0_1
    & join(join(sk0_0,sk0_2),sk0_1) != sk0_1 ),
    inference(skolemization,[status(esa)],[f29]) ).

fof(f31,plain,
    join(sk0_0,sk0_1) = sk0_1,
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f32,plain,
    join(sk0_2,sk0_1) = sk0_1,
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f33,plain,
    join(join(sk0_0,sk0_2),sk0_1) != sk0_1,
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f36,plain,
    join(sk0_1,sk0_2) = sk0_1,
    inference(forward_demodulation,[status(thm)],[f16,f32]) ).

fof(f37,plain,
    join(sk0_0,join(sk0_2,sk0_1)) != sk0_1,
    inference(forward_demodulation,[status(thm)],[f17,f33]) ).

fof(f38,plain,
    join(sk0_0,join(sk0_1,sk0_2)) != sk0_1,
    inference(forward_demodulation,[status(thm)],[f16,f37]) ).

fof(f39,plain,
    join(sk0_0,sk0_1) != sk0_1,
    inference(forward_demodulation,[status(thm)],[f36,f38]) ).

fof(f40,plain,
    sk0_1 != sk0_1,
    inference(forward_demodulation,[status(thm)],[f31,f39]) ).

fof(f41,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n008.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 10:05:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.58  % Elapsed time: 0.015122 seconds
% 0.21/0.58  % CPU time: 0.019170 seconds
% 0.21/0.58  % Memory used: 225.328 KB
%------------------------------------------------------------------------------