TSTP Solution File: GEO148-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO148-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:07:57 EDT 2023

% Result   : Unsatisfiable 0.16s 0.33s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  23   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (;  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,axiom,
    ! [A,B,C] :
      ( ~ connect(A,B,C)
      | once(at_the_same_time(at(A,C),at(B,C))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f109,axiom,
    ! [A,B,C,D,E,F] :
      ( ~ once(at_the_same_time(at(A,B),at(C,D)))
      | ~ once(at_the_same_time(at(A,E),at(C,F)))
      | ~ ordered_by(trajectory_of(A),B,E)
      | ~ ordered_by(trajectory_of(C),F,D) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    connect(sk28,sk29,sk27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f112,negated_conjecture,
    ordered_by(trajectory_of(sk29),sk31,sk27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    ordered_by(trajectory_of(sk28),sk27,sk30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f243,plain,
    ! [X0,X1,X2] :
      ( ~ connect(X0,X1,X2)
      | once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f257,plain,
    ! [C,D,F] :
      ( ! [A,B,E] :
          ( ~ once(at_the_same_time(at(A,B),at(C,D)))
          | ~ once(at_the_same_time(at(A,E),at(C,F)))
          | ~ ordered_by(trajectory_of(A),B,E) )
      | ~ ordered_by(trajectory_of(C),F,D) ),
    inference(miniscoping,[status(esa)],[f109]) ).

fof(f258,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ once(at_the_same_time(at(X0,X1),at(X2,X3)))
      | ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
      | ~ ordered_by(trajectory_of(X0),X1,X4)
      | ~ ordered_by(trajectory_of(X2),X5,X3) ),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f261,plain,
    connect(sk28,sk29,sk27),
    inference(cnf_transformation,[status(esa)],[f111]) ).

fof(f262,plain,
    ordered_by(trajectory_of(sk29),sk31,sk27),
    inference(cnf_transformation,[status(esa)],[f112]) ).

fof(f263,plain,
    ordered_by(trajectory_of(sk28),sk27,sk30),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f264,plain,
    once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f280,plain,
    once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
    inference(resolution,[status(thm)],[f243,f261]) ).

fof(f324,plain,
    ! [X0,X1,X2] :
      ( ~ once(at_the_same_time(at(X0,X1),at(sk29,sk27)))
      | ~ once(at_the_same_time(at(X0,X2),at(sk29,sk31)))
      | ~ ordered_by(trajectory_of(X0),X1,X2) ),
    inference(resolution,[status(thm)],[f258,f262]) ).

fof(f336,plain,
    ( spl0_2
  <=> once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))) ),
    introduced(split_symbol_definition) ).

fof(f338,plain,
    ( ~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27)))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f339,plain,
    ( spl0_3
  <=> once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))) ),
    introduced(split_symbol_definition) ).

fof(f341,plain,
    ( ~ once(at_the_same_time(at(sk28,sk30),at(sk29,sk31)))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f339]) ).

fof(f342,plain,
    ( ~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27)))
    | ~ once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))) ),
    inference(resolution,[status(thm)],[f324,f263]) ).

fof(f343,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f342,f336,f339]) ).

fof(f352,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f338,f280]) ).

fof(f353,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f352]) ).

fof(f354,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f341,f264]) ).

fof(f355,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f354]) ).

fof(f356,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f343,f353,f355]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO148-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 12:05:55 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.33  % Refutation found
% 0.16/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54  % Elapsed time: 0.016172 seconds
% 0.16/0.54  % CPU time: 0.018522 seconds
% 0.16/0.54  % Memory used: 3.908 MB
%------------------------------------------------------------------------------