%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG350-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:11:24 EDT 2024

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f325,axiom,
    ! [V_x,V_y] :
      ( c_lessequals(V_x,V_y,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f338,axiom,
    ! [V_x] :
      ( c_HOL_Oord__class_Oless(V_x,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,V_x)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f352,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f353,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f953,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
    inference(cnf_transformation,[status(esa)],[f325]) ).

fof(f967,plain,
    ! [X0] :
      ( c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X0)) ),
    inference(cnf_transformation,[status(esa)],[f338]) ).

fof(f986,plain,
    hBOOL(hAPP(v_P,v_xa)),
    inference(cnf_transformation,[status(esa)],[f352]) ).

fof(f987,plain,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(cnf_transformation,[status(esa)],[f353]) ).

fof(f1025,plain,
    c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[f967,f986]) ).

fof(f1026,plain,
    c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[f1025,f953]) ).

fof(f1027,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1026,f987]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG350-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n015.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 : Mon Apr 29 23:55:17 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  % Drodi V3.6.0
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.042126 seconds
% 0.20/0.40  % CPU time: 0.059056 seconds
% 0.20/0.40  % Total memory used: 16.611 MB
% 0.20/0.40  % Net memory used: 16.566 MB
%------------------------------------------------------------------------------