TSTP Solution File: GEO146-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:07:56 EDT 2023

% Result   : Unsatisfiable 0.18s 0.57s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   1 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   47 (  22   ~;  23   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   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/sandbox/benchmark/theBenchmark.p') ).

fof(f98,axiom,
    ! [A,B,C] :
      ( ~ once(at_the_same_time(at(A,B),at(C,B)))
      | connect(A,C,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [A,B] :
      ( ~ once(at_the_same_time(A,B))
      | once(at_the_same_time(B,A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f114,negated_conjecture,
    ( ~ connect(sk28,sk27,sk29)
    | ~ connect(sk27,sk28,sk29) ),
    file('/export/starexec/sandbox/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(f244,plain,
    ! [X0,X1,X2] :
      ( ~ once(at_the_same_time(at(X0,X1),at(X2,X1)))
      | connect(X0,X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f98]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ once(at_the_same_time(X0,X1))
      | once(at_the_same_time(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

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

fof(f264,plain,
    ( ~ connect(sk28,sk27,sk29)
    | ~ connect(sk27,sk28,sk29) ),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f265,plain,
    ( spl0_0
  <=> connect(sk27,sk28,sk29) ),
    introduced(split_symbol_definition) ).

fof(f266,plain,
    ( connect(sk27,sk28,sk29)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f265]) ).

fof(f268,plain,
    ( spl0_1
  <=> connect(sk28,sk27,sk29) ),
    introduced(split_symbol_definition) ).

fof(f269,plain,
    ( connect(sk28,sk27,sk29)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f268]) ).

fof(f270,plain,
    ( ~ connect(sk28,sk27,sk29)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f268]) ).

fof(f271,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f261,f265,f268]) ).

fof(f274,plain,
    ( ~ spl0_1
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f264,f268,f265]) ).

fof(f359,plain,
    ! [X0,X1,X2] :
      ( once(at_the_same_time(at(X0,X1),at(X2,X1)))
      | ~ connect(X2,X0,X1) ),
    inference(resolution,[status(thm)],[f245,f243]) ).

fof(f361,plain,
    ! [X0,X1,X2] :
      ( ~ connect(X0,X1,X2)
      | connect(X1,X0,X2) ),
    inference(resolution,[status(thm)],[f359,f244]) ).

fof(f367,plain,
    ( connect(sk28,sk27,sk29)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f361,f266]) ).

fof(f368,plain,
    ( $false
    | spl0_1
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f367,f270]) ).

fof(f369,plain,
    ( spl0_1
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f368]) ).

fof(f370,plain,
    ( connect(sk27,sk28,sk29)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f269,f361]) ).

fof(f371,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f370,f265,f268]) ).

fof(f374,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f271,f274,f369,f371]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 11:30:10 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.18/0.57  % Refutation found
% 0.18/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57  % Elapsed time: 0.019383 seconds
% 0.18/0.57  % CPU time: 0.050031 seconds
% 0.18/0.57  % Memory used: 15.328 MB
%------------------------------------------------------------------------------