%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% 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 : n002.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 20:17:13 EDT 2024

% Result   : Theorem 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  26   ~;  19   |;  12   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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   :   51 (  46   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,axiom,
    ! [X,Y,P] :
      ( connect(X,Y,P)
    <=> once(at_the_same_time(at(X,P),at(Y,P))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [P1,P2,Q1,Q2,X,Y] :
      ( ( once(at_the_same_time(at(X,P1),at(Y,P2)))
        & once(at_the_same_time(at(X,Q1),at(Y,Q2))) )
     => ~ ( ordered_by(trajectory_of(X),P1,Q1)
          & ordered_by(trajectory_of(Y),Q2,P2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [P,X,Y] :
      ( connect(X,Y,P)
     => ! [Q1,Q2] :
          ( ( ordered_by(trajectory_of(Y),Q2,P)
            & ordered_by(trajectory_of(X),P,Q1) )
         => ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [P,X,Y] :
        ( connect(X,Y,P)
       => ! [Q1,Q2] :
            ( ( ordered_by(trajectory_of(Y),Q2,P)
              & ordered_by(trajectory_of(X),P,Q1) )
           => ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f197,plain,
    ! [X,Y,P] :
      ( ( ~ connect(X,Y,P)
        | once(at_the_same_time(at(X,P),at(Y,P))) )
      & ( connect(X,Y,P)
        | ~ once(at_the_same_time(at(X,P),at(Y,P))) ) ),
    inference(NNF_transformation,[status(esa)],[f28]) ).

fof(f198,plain,
    ( ! [X,Y,P] :
        ( ~ connect(X,Y,P)
        | once(at_the_same_time(at(X,P),at(Y,P))) )
    & ! [X,Y,P] :
        ( connect(X,Y,P)
        | ~ once(at_the_same_time(at(X,P),at(Y,P))) ) ),
    inference(miniscoping,[status(esa)],[f197]) ).

fof(f199,plain,
    ! [X0,X1,X2] :
      ( ~ connect(X0,X1,X2)
      | once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
    inference(cnf_transformation,[status(esa)],[f198]) ).

fof(f220,plain,
    ! [P1,P2,Q1,Q2,X,Y] :
      ( ~ once(at_the_same_time(at(X,P1),at(Y,P2)))
      | ~ once(at_the_same_time(at(X,Q1),at(Y,Q2)))
      | ~ ordered_by(trajectory_of(X),P1,Q1)
      | ~ ordered_by(trajectory_of(Y),Q2,P2) ),
    inference(pre_NNF_transformation,[status(esa)],[f35]) ).

fof(f221,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)],[f220]) ).

fof(f225,plain,
    ? [P,X,Y] :
      ( connect(X,Y,P)
      & ? [Q1,Q2] :
          ( ordered_by(trajectory_of(Y),Q2,P)
          & ordered_by(trajectory_of(X),P,Q1)
          & once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f226,plain,
    ( connect(sk0_27,sk0_28,sk0_26)
    & ordered_by(trajectory_of(sk0_28),sk0_30,sk0_26)
    & ordered_by(trajectory_of(sk0_27),sk0_26,sk0_29)
    & once(at_the_same_time(at(sk0_27,sk0_29),at(sk0_28,sk0_30))) ),
    inference(skolemization,[status(esa)],[f225]) ).

fof(f227,plain,
    connect(sk0_27,sk0_28,sk0_26),
    inference(cnf_transformation,[status(esa)],[f226]) ).

fof(f228,plain,
    ordered_by(trajectory_of(sk0_28),sk0_30,sk0_26),
    inference(cnf_transformation,[status(esa)],[f226]) ).

fof(f229,plain,
    ordered_by(trajectory_of(sk0_27),sk0_26,sk0_29),
    inference(cnf_transformation,[status(esa)],[f226]) ).

fof(f230,plain,
    once(at_the_same_time(at(sk0_27,sk0_29),at(sk0_28,sk0_30))),
    inference(cnf_transformation,[status(esa)],[f226]) ).

fof(f246,plain,
    once(at_the_same_time(at(sk0_27,sk0_26),at(sk0_28,sk0_26))),
    inference(resolution,[status(thm)],[f199,f227]) ).

fof(f290,plain,
    ! [X0,X1,X2] :
      ( ~ once(at_the_same_time(at(X0,X1),at(sk0_28,sk0_26)))
      | ~ once(at_the_same_time(at(X0,X2),at(sk0_28,sk0_30)))
      | ~ ordered_by(trajectory_of(X0),X1,X2) ),
    inference(resolution,[status(thm)],[f221,f228]) ).

fof(f302,plain,
    ( spl0_2
  <=> once(at_the_same_time(at(sk0_27,sk0_26),at(sk0_28,sk0_26))) ),
    introduced(split_symbol_definition) ).

fof(f304,plain,
    ( ~ once(at_the_same_time(at(sk0_27,sk0_26),at(sk0_28,sk0_26)))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f305,plain,
    ( spl0_3
  <=> once(at_the_same_time(at(sk0_27,sk0_29),at(sk0_28,sk0_30))) ),
    introduced(split_symbol_definition) ).

fof(f307,plain,
    ( ~ once(at_the_same_time(at(sk0_27,sk0_29),at(sk0_28,sk0_30)))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f308,plain,
    ( ~ once(at_the_same_time(at(sk0_27,sk0_26),at(sk0_28,sk0_26)))
    | ~ once(at_the_same_time(at(sk0_27,sk0_29),at(sk0_28,sk0_30))) ),
    inference(resolution,[status(thm)],[f290,f229]) ).

fof(f309,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f308,f302,f305]) ).

fof(f318,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f304,f246]) ).

fof(f319,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f318]) ).

fof(f320,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f307,f230]) ).

fof(f321,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f320]) ).

fof(f322,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f309,f319,f321]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n002.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 Apr 30 01:59:25 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  % Drodi V3.6.0
% 0.19/0.36  % Refutation found
% 0.19/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37  % Elapsed time: 0.024509 seconds
% 0.19/0.37  % CPU time: 0.043342 seconds
% 0.19/0.37  % Total memory used: 13.871 MB
% 0.19/0.37  % Net memory used: 13.829 MB
%------------------------------------------------------------------------------