%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:28:01 EDT 2024

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f332,axiom,
    ! [V_s,V_k] : c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,c_HOL_Oplus__class_Oplus(V_k,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f339,axiom,
    ! [V_r] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
      | ~ c_InductTermi_OIT(V_r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f344,negated_conjecture,
    ! [V_i] : c_InductTermi_OIT(c_Lambda_Olift(v_r,V_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f345,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f892,plain,
    ! [X0,X1] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    inference(cnf_transformation,[status(esa)],[f332]) ).

fof(f899,plain,
    ! [X0] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0))
      | ~ c_InductTermi_OIT(X0) ),
    inference(cnf_transformation,[status(esa)],[f339]) ).

fof(f905,plain,
    ! [X0] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X0)),
    inference(cnf_transformation,[status(esa)],[f344]) ).

fof(f906,plain,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
    inference(cnf_transformation,[status(esa)],[f345]) ).

fof(f932,plain,
    ! [X0,X1] :
      ( c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1))
      | ~ c_InductTermi_OIT(c_Lambda_Olift(X0,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))) ),
    inference(paramodulation,[status(thm)],[f892,f899]) ).

fof(f944,plain,
    ! [X0] : c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),X0)),
    inference(resolution,[status(thm)],[f932,f905]) ).

fof(f945,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f906,f944]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 21:02:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.39  % Drodi V3.6.0
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41  % Elapsed time: 0.058418 seconds
% 0.14/0.41  % CPU time: 0.086569 seconds
% 0.14/0.41  % Total memory used: 16.667 MB
% 0.14/0.41  % Net memory used: 16.652 MB
%------------------------------------------------------------------------------