TSTP Solution File: GEO126-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:07:52 EDT 2023

% Result   : Unsatisfiable 0.13s 0.32s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (  17 unt;   0 def)
%            Number of atoms       :   57 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  23   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   44 (;  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [A,B] :
      ( ~ end_point(A,B)
      | incident_c(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [A,B] :
      ( ~ inner_point(A,B)
      | incident_c(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [A,B] :
      ( ~ inner_point(A,B)
      | ~ end_point(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [A] :
      ( ~ open(A)
      | end_point(ax0_sk7(A),A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [A] : inner_point(ax0_sk8(A),A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,axiom,
    ! [A,B,C] :
      ( ~ start_point(A,B)
      | A = C
      | ~ incident_o(C,B)
      | ordered_by(B,A,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f73,axiom,
    ! [A] : open(ax2_sk3(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,axiom,
    ! [A,B] :
      ( ~ incident_c(A,ax2_sk3(B))
      | incident_o(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f83,axiom,
    ! [A] : start_point(ax2_sk6(A),A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ! [A,B] :
      ( ~ ordered_by(sk25,A,B)
      | A = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | ~ end_point(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ open(X0)
      | end_point(ax0_sk7(X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f147,plain,
    ! [X0] : inner_point(ax0_sk8(X0),X0),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f181,plain,
    ! [X0,X1,X2] :
      ( ~ start_point(X0,X1)
      | X0 = X2
      | ~ incident_o(X2,X1)
      | ordered_by(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f62]) ).

fof(f194,plain,
    ! [X0] : open(ax2_sk3(X0)),
    inference(cnf_transformation,[status(esa)],[f73]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ incident_c(X0,ax2_sk3(X1))
      | incident_o(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f75]) ).

fof(f209,plain,
    ! [X0] : start_point(ax2_sk6(X0),X0),
    inference(cnf_transformation,[status(esa)],[f83]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ ordered_by(sk25,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f236,plain,
    ! [X0] : incident_c(ax0_sk8(X0),X0),
    inference(resolution,[status(thm)],[f123,f147]) ).

fof(f245,plain,
    ! [X0] : end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[status(thm)],[f140,f194]) ).

fof(f258,plain,
    ! [X0] : incident_o(ax0_sk8(ax2_sk3(X0)),X0),
    inference(resolution,[status(thm)],[f196,f236]) ).

fof(f301,plain,
    ! [X0] : ~ inner_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[status(thm)],[f245,f124]) ).

fof(f302,plain,
    ! [X0] : incident_c(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[status(thm)],[f245,f114]) ).

fof(f310,plain,
    ! [X0] : incident_o(ax0_sk7(ax2_sk3(X0)),X0),
    inference(resolution,[status(thm)],[f302,f196]) ).

fof(f417,plain,
    ! [X0,X1] :
      ( ax2_sk6(X0) = X1
      | ~ incident_o(X1,X0)
      | ordered_by(X0,ax2_sk6(X0),X1) ),
    inference(resolution,[status(thm)],[f181,f209]) ).

fof(f543,plain,
    ! [X0] :
      ( ax2_sk6(sk25) = X0
      | ~ incident_o(X0,sk25)
      | ax2_sk6(sk25) = X0 ),
    inference(resolution,[status(thm)],[f417,f226]) ).

fof(f544,plain,
    ! [X0] :
      ( ax2_sk6(sk25) = X0
      | ~ incident_o(X0,sk25) ),
    inference(duplicate_literals_removal,[status(esa)],[f543]) ).

fof(f571,plain,
    ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25)),
    inference(resolution,[status(thm)],[f544,f310]) ).

fof(f573,plain,
    ax2_sk6(sk25) = ax0_sk8(ax2_sk3(sk25)),
    inference(resolution,[status(thm)],[f544,f258]) ).

fof(f632,plain,
    ~ inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(paramodulation,[status(thm)],[f571,f301]) ).

fof(f672,plain,
    inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(paramodulation,[status(thm)],[f573,f147]) ).

fof(f716,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f672,f632]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n022.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 11:59:57 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 0.13/0.32  % Refutation found
% 0.13/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.56  % Elapsed time: 0.042112 seconds
% 0.13/0.56  % CPU time: 0.033498 seconds
% 0.13/0.56  % Memory used: 3.372 MB
%------------------------------------------------------------------------------