%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL414-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:27:07 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  12 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [B,A] :
      ( a_truth(B)
      | ~ a_truth(A)
      | ~ a_truth(implies(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [A,B] : a_truth(implies(A,implies(B,A))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [A,B,C] : a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [A,B] : a_truth(implies(implies(not(A),not(B)),implies(B,A))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ a_truth(implies(sk1,sk1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1] :
      ( a_truth(X0)
      | ~ a_truth(X1)
      | ~ a_truth(implies(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

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

fof(f8,plain,
    ! [X0,X1,X2] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0,X1] : a_truth(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ~ a_truth(implies(sk1,sk1)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( a_truth(implies(X0,X1))
      | ~ a_truth(X1) ),
    inference(resolution,[status(thm)],[f6,f7]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( a_truth(implies(implies(X0,X1),implies(X0,X2)))
      | ~ a_truth(implies(X0,implies(X1,X2))) ),
    inference(resolution,[status(thm)],[f8,f6]) ).

fof(f31,plain,
    ! [X0,X1,X2] : a_truth(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))),
    inference(resolution,[status(thm)],[f9,f11]) ).

fof(f50,plain,
    ! [X0,X1] : a_truth(implies(implies(X0,X1),implies(X0,X0))),
    inference(resolution,[status(thm)],[f22,f7]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( a_truth(implies(X0,X0))
      | ~ a_truth(implies(X0,X1)) ),
    inference(resolution,[status(thm)],[f50,f6]) ).

fof(f57,plain,
    ! [X0] : a_truth(implies(X0,X0)),
    inference(resolution,[status(thm)],[f52,f31]) ).

fof(f62,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f10,f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL414-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 20:13:47 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39  % Elapsed time: 0.019013 seconds
% 0.19/0.39  % CPU time: 0.023378 seconds
% 0.19/0.39  % Total memory used: 6.483 MB
% 0.19/0.39  % Net memory used: 6.414 MB
%------------------------------------------------------------------------------