%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (   7 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   68 (  27   ~;  24   |;  10   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   51 (;  48   !;   3   ?)

% 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/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ! [A,B] :
      ( once(at_the_same_time(A,B))
     => ( once(A)
        & once(B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [X,P] :
      ( once(at(X,P))
    <=> incident_o(P,trajectory_of(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [P,X,Y] :
      ( connect(X,Y,P)
     => ( incident_o(P,trajectory_of(X))
        & incident_o(P,trajectory_of(Y)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [P,X,Y] :
        ( connect(X,Y,P)
       => ( incident_o(P,trajectory_of(X))
          & incident_o(P,trajectory_of(Y)) ) ),
    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(f211,plain,
    ! [A,B] :
      ( ~ once(at_the_same_time(A,B))
      | ( once(A)
        & once(B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f32]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ once(at_the_same_time(X0,X1))
      | once(X0) ),
    inference(cnf_transformation,[status(esa)],[f211]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ once(at_the_same_time(X0,X1))
      | once(X1) ),
    inference(cnf_transformation,[status(esa)],[f211]) ).

fof(f214,plain,
    ! [X,P] :
      ( ( ~ once(at(X,P))
        | incident_o(P,trajectory_of(X)) )
      & ( once(at(X,P))
        | ~ incident_o(P,trajectory_of(X)) ) ),
    inference(NNF_transformation,[status(esa)],[f33]) ).

fof(f215,plain,
    ( ! [X,P] :
        ( ~ once(at(X,P))
        | incident_o(P,trajectory_of(X)) )
    & ! [X,P] :
        ( once(at(X,P))
        | ~ incident_o(P,trajectory_of(X)) ) ),
    inference(miniscoping,[status(esa)],[f214]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ once(at(X0,X1))
      | incident_o(X1,trajectory_of(X0)) ),
    inference(cnf_transformation,[status(esa)],[f215]) ).

fof(f225,plain,
    ? [P,X,Y] :
      ( connect(X,Y,P)
      & ( ~ incident_o(P,trajectory_of(X))
        | ~ incident_o(P,trajectory_of(Y)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f226,plain,
    ( connect(sk0_27,sk0_28,sk0_26)
    & ( ~ incident_o(sk0_26,trajectory_of(sk0_27))
      | ~ incident_o(sk0_26,trajectory_of(sk0_28)) ) ),
    inference(skolemization,[status(esa)],[f225]) ).

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

fof(f228,plain,
    ( ~ incident_o(sk0_26,trajectory_of(sk0_27))
    | ~ incident_o(sk0_26,trajectory_of(sk0_28)) ),
    inference(cnf_transformation,[status(esa)],[f226]) ).

fof(f229,plain,
    ( spl0_0
  <=> incident_o(sk0_26,trajectory_of(sk0_27)) ),
    introduced(split_symbol_definition) ).

fof(f231,plain,
    ( ~ incident_o(sk0_26,trajectory_of(sk0_27))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f232,plain,
    ( spl0_1
  <=> incident_o(sk0_26,trajectory_of(sk0_28)) ),
    introduced(split_symbol_definition) ).

fof(f234,plain,
    ( ~ incident_o(sk0_26,trajectory_of(sk0_28))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f235,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f228,f229,f232]) ).

fof(f252,plain,
    ! [X0,X1,X2] :
      ( once(at(X0,X1))
      | ~ connect(X0,X2,X1) ),
    inference(resolution,[status(thm)],[f212,f199]) ).

fof(f253,plain,
    ! [X0,X1,X2] :
      ( once(at(X0,X1))
      | ~ connect(X2,X0,X1) ),
    inference(resolution,[status(thm)],[f213,f199]) ).

fof(f262,plain,
    once(at(sk0_27,sk0_26)),
    inference(resolution,[status(thm)],[f252,f227]) ).

fof(f264,plain,
    incident_o(sk0_26,trajectory_of(sk0_27)),
    inference(resolution,[status(thm)],[f262,f216]) ).

fof(f265,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f264,f231]) ).

fof(f266,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f265]) ).

fof(f271,plain,
    ! [X0,X1,X2] :
      ( ~ connect(X0,X1,X2)
      | incident_o(X2,trajectory_of(X1)) ),
    inference(resolution,[status(thm)],[f253,f216]) ).

fof(f273,plain,
    incident_o(sk0_26,trajectory_of(sk0_28)),
    inference(resolution,[status(thm)],[f271,f227]) ).

fof(f274,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f273,f234]) ).

fof(f275,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f274]) ).

fof(f276,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f235,f266,f275]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n006.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 11:57:32 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.018031 seconds
% 0.07/0.28  % CPU time: 0.027370 seconds
% 0.07/0.28  % Memory used: 15.200 MB
%------------------------------------------------------------------------------