%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO117-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:17:08 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   26 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  18   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,axiom,
    ! [A,B,C,D] :
      ( ~ between_c(A,B,C,D)
      | B != D ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [A,B,C,D] :
      ( ~ ordered_by(A,B,C)
      | ~ ordered_by(A,C,D)
      | between_o(A,B,C,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,axiom,
    ! [A,B,C,D] :
      ( ~ between_o(A,B,C,D)
      | between_c(ax2_sk4(A,D,C,B),B,C,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ordered_by(sk25,sk26,sk26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f162,plain,
    ! [B,D] :
      ( ! [A,C] : ~ between_c(A,B,C,D)
      | B != D ),
    inference(miniscoping,[status(esa)],[f49]) ).

fof(f163,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between_c(X0,X1,X2,X3)
      | X1 != X3 ),
    inference(cnf_transformation,[status(esa)],[f162]) ).

fof(f178,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ordered_by(X0,X1,X2)
      | ~ ordered_by(X0,X2,X3)
      | between_o(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f200,plain,
    ! [X0,X1,X2,X3] :
      ( ~ between_o(X0,X1,X2,X3)
      | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f78]) ).

fof(f226,plain,
    ordered_by(sk25,sk26,sk26),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f227,plain,
    ! [X0,X1,X2] : ~ between_c(X0,X1,X2,X1),
    inference(destructive_equality_resolution,[status(esa)],[f163]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ordered_by(X0,X1,X2)
      | ~ ordered_by(X0,X2,X3)
      | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    inference(resolution,[status(thm)],[f178,f200]) ).

fof(f316,plain,
    ! [X0,X1,X2] :
      ( ~ ordered_by(X0,X1,X2)
      | ~ ordered_by(X0,X2,X1) ),
    inference(resolution,[status(thm)],[f312,f227]) ).

fof(f318,plain,
    ~ ordered_by(sk25,sk26,sk26),
    inference(resolution,[status(thm)],[f316,f226]) ).

fof(f319,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f318,f226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO117-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 01:53:05 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.070995 seconds
% 0.20/0.44  % CPU time: 0.434665 seconds
% 0.20/0.44  % Total memory used: 56.742 MB
% 0.20/0.44  % Net memory used: 56.615 MB
%------------------------------------------------------------------------------