%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL135-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:26:27 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 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   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : implies(truth,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    implies(x,implies(y,x)) != truth,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] : implies(truth,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f10,plain,
    implies(x,implies(y,x)) != truth,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(paramodulation,[status(thm)],[f6,f8]) ).

fof(f28,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
    inference(paramodulation,[status(thm)],[f6,f7]) ).

fof(f48,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
    inference(forward_demodulation,[status(thm)],[f6,f28]) ).

fof(f53,plain,
    ! [X0] : truth = implies(implies(truth,X0),X0),
    inference(paramodulation,[status(thm)],[f6,f48]) ).

fof(f71,plain,
    ! [X0] : truth = implies(X0,X0),
    inference(forward_demodulation,[status(thm)],[f6,f53]) ).

fof(f80,plain,
    ! [X0] : implies(implies(X0,truth),truth) = truth,
    inference(backward_demodulation,[status(thm)],[f71,f11]) ).

fof(f99,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(paramodulation,[status(thm)],[f80,f48]) ).

fof(f227,plain,
    ! [X0,X1] : truth = implies(truth,implies(implies(truth,X0),implies(X1,X0))),
    inference(paramodulation,[status(thm)],[f99,f7]) ).

fof(f249,plain,
    ! [X0,X1] : truth = implies(implies(truth,X0),implies(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f6,f227]) ).

fof(f250,plain,
    ! [X0,X1] : truth = implies(X0,implies(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f6,f249]) ).

fof(f251,plain,
    $false,
    inference(resolution,[status(thm)],[f250,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL135-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 20:13:28 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.018987 seconds
% 0.14/0.38  % CPU time: 0.052995 seconds
% 0.14/0.38  % Total memory used: 3.737 MB
% 0.14/0.38  % Net memory used: 3.709 MB
%------------------------------------------------------------------------------