%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 : Tue Apr 30 20:25:16 EDT 2024

% Result   : Unsatisfiable 0.07s 0.29s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X,Y] : meet(X,join(X,Y)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y] : meet(X,Y) = meet(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y] : join(X,Y) = join(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X] : join(complement(X),X) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y,Z] : join(X,meet(Y,join(X,Z))) = meet(join(X,Y),join(X,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    join(a,meet(complement(a),join(a,b))) != join(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0,X1] : meet(X0,join(X0,X1)) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f20,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f21,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f26,plain,
    ! [X0] : join(complement(X0),X0) = n1,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f29,plain,
    ! [X0,X1,X2] : join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f30,plain,
    join(a,meet(complement(a),join(a,b))) != join(a,b),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f31,plain,
    ! [X0] : join(X0,complement(X0)) = n1,
    inference(forward_demodulation,[status(thm)],[f21,f26]) ).

fof(f33,plain,
    meet(join(a,complement(a)),join(a,b)) != join(a,b),
    inference(forward_demodulation,[status(thm)],[f29,f30]) ).

fof(f34,plain,
    meet(join(a,b),join(a,complement(a))) != join(a,b),
    inference(forward_demodulation,[status(thm)],[f20,f33]) ).

fof(f35,plain,
    meet(join(a,b),n1) != join(a,b),
    inference(forward_demodulation,[status(thm)],[f31,f34]) ).

fof(f36,plain,
    meet(n1,join(a,b)) != join(a,b),
    inference(forward_demodulation,[status(thm)],[f20,f35]) ).

fof(f43,plain,
    ! [X0] : meet(X0,n1) = X0,
    inference(paramodulation,[status(thm)],[f31,f18]) ).

fof(f49,plain,
    ! [X0] : X0 = meet(n1,X0),
    inference(paramodulation,[status(thm)],[f43,f20]) ).

fof(f55,plain,
    join(a,b) != join(a,b),
    inference(backward_demodulation,[status(thm)],[f49,f36]) ).

fof(f56,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Mon Apr 29 20:06:20 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.28  % Drodi V3.6.0
% 0.07/0.29  % Refutation found
% 0.07/0.29  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.30  % Elapsed time: 0.016362 seconds
% 0.07/0.30  % CPU time: 0.024620 seconds
% 0.07/0.30  % Total memory used: 2.502 MB
% 0.07/0.30  % Net memory used: 2.419 MB
%------------------------------------------------------------------------------