%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET023-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 12:33:37 EDT 2023

% Result   : Unsatisfiable 1.42s 0.61s
% Output   : CNFRefutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   31 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X] :
      ( ~ ordered_pair_predicate(X)
      | little_set(f2(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X] :
      ( ~ ordered_pair_predicate(X)
      | little_set(f3(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X] :
      ( ~ ordered_pair_predicate(X)
      | X = ordered_pair(f2(X),f3(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f147,axiom,
    ! [X,Y] :
      ( ~ little_set(X)
      | ~ little_set(Y)
      | second(ordered_pair(X,Y)) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f149,hypothesis,
    ordered_pair_predicate(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f150,negated_conjecture,
    ~ little_set(second(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f165,plain,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | little_set(f2(X0)) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | little_set(f3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ ordered_pair_predicate(X0)
      | X0 = ordered_pair(f2(X0),f3(X0)) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( ~ little_set(X0)
      | ~ little_set(X1)
      | second(ordered_pair(X0,X1)) = X1 ),
    inference(cnf_transformation,[status(esa)],[f147]) ).

fof(f338,plain,
    ordered_pair_predicate(a),
    inference(cnf_transformation,[status(esa)],[f149]) ).

fof(f339,plain,
    ~ little_set(second(a)),
    inference(cnf_transformation,[status(esa)],[f150]) ).

fof(f380,plain,
    little_set(f2(a)),
    inference(resolution,[status(thm)],[f165,f338]) ).

fof(f474,plain,
    little_set(f3(a)),
    inference(resolution,[status(thm)],[f166,f338]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ little_set(X0)
      | second(ordered_pair(X0,f3(a))) = f3(a) ),
    inference(resolution,[status(thm)],[f336,f474]) ).

fof(f496,plain,
    second(ordered_pair(f2(a),f3(a))) = f3(a),
    inference(resolution,[status(thm)],[f488,f380]) ).

fof(f868,plain,
    a = ordered_pair(f2(a),f3(a)),
    inference(resolution,[status(thm)],[f167,f338]) ).

fof(f1217,plain,
    second(a) = f3(a),
    inference(backward_demodulation,[status(thm)],[f868,f496]) ).

fof(f1218,plain,
    ~ little_set(f3(a)),
    inference(backward_demodulation,[status(thm)],[f1217,f339]) ).

fof(f1219,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1218,f474]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET023-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.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 10:48:14 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 1.42/0.61  % Refutation found
% 1.42/0.61  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.42/0.61  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.43/0.62  % Elapsed time: 0.272015 seconds
% 1.43/0.62  % CPU time: 1.408973 seconds
% 1.43/0.62  % Memory used: 73.068 MB
%------------------------------------------------------------------------------