%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL111-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 20:26:23 EDT 2024

% Result   : Unsatisfiable 2.79s 0.73s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   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(f5,negated_conjecture,
    implies(implies(x,y),implies(implies(z,x),implies(z,y))) != 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(f10,plain,
    implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] : implies(truth,implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) = truth,
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)) = truth,
    inference(forward_demodulation,[status(thm)],[f6,f24]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3] : implies(truth,implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))) = truth,
    inference(paramodulation,[status(thm)],[f25,f25]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3] : implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2)))) = truth,
    inference(forward_demodulation,[status(thm)],[f6,f51]) ).

fof(f4234,plain,
    ! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X2,X0),implies(truth,implies(X2,X1)))) = truth,
    inference(paramodulation,[status(thm)],[f6,f52]) ).

fof(f4235,plain,
    ! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))) = truth,
    inference(forward_demodulation,[status(thm)],[f6,f4234]) ).

fof(f4649,plain,
    truth != truth,
    inference(backward_demodulation,[status(thm)],[f4235,f10]) ).

fof(f4650,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f4649]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL111-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 20:49:49 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 2.79/0.73  % Refutation found
% 2.79/0.73  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.79/0.73  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.79/0.75  % Elapsed time: 0.391393 seconds
% 2.79/0.75  % CPU time: 3.017093 seconds
% 2.79/0.75  % Total memory used: 74.676 MB
% 2.79/0.75  % Net memory used: 71.768 MB
%------------------------------------------------------------------------------