%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:20:40 EDT 2023

% Result   : Unsatisfiable 0.27s 0.63s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-5 aty)
%            Number of variables   :   13 (;  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f435,axiom,
    ! [V_s,V_t] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f436,axiom,
    ! [V_r,V_ss,V_s] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f444,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1124,plain,
    ! [X0,X1] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(cnf_transformation,[status(esa)],[f435]) ).

fof(f1125,plain,
    ! [V_r,V_s] :
      ( ! [V_ss] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ),
    inference(miniscoping,[status(esa)],[f436]) ).

fof(f1126,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
    inference(cnf_transformation,[status(esa)],[f1125]) ).

fof(f1139,plain,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
    inference(cnf_transformation,[status(esa)],[f444]) ).

fof(f1466,plain,
    ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____)),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)))),
    inference(resolution,[status(thm)],[f1126,f1139]) ).

fof(f1467,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1466,f1124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL834-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n001.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue May 30 10:15:15 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.10/0.36  % Drodi V3.5.1
% 0.27/0.63  % Refutation found
% 0.27/0.63  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.63  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.63  % Elapsed time: 0.077272 seconds
% 0.27/0.63  % CPU time: 0.060966 seconds
% 0.27/0.63  % Memory used: 12.924 MB
%------------------------------------------------------------------------------