%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL792-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:28:07 EDT 2024

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : CNFRefutation 0.20s
% 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 :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1191,axiom,
    ! [V_t,V_i] :
      ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
      | ~ c_InductTermi_OIT(V_t) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1192,axiom,
    c_InductTermi_OIT(v_u____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1193,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3132,plain,
    ! [V_t] :
      ( ! [V_i] : c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
      | ~ c_InductTermi_OIT(V_t) ),
    inference(miniscoping,[status(esa)],[f1191]) ).

fof(f3133,plain,
    ! [X0,X1] :
      ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1))
      | ~ c_InductTermi_OIT(X0) ),
    inference(cnf_transformation,[status(esa)],[f3132]) ).

fof(f3134,plain,
    c_InductTermi_OIT(v_u____),
    inference(cnf_transformation,[status(esa)],[f1192]) ).

fof(f3135,plain,
    ~ c_InductTermi_OIT(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(cnf_transformation,[status(esa)],[f1193]) ).

fof(f3174,plain,
    ! [X0] : c_InductTermi_OIT(c_Lambda_Olift(v_u____,X0)),
    inference(resolution,[status(thm)],[f3133,f3134]) ).

fof(f3175,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f3135,f3174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL792-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 20:20:41 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.42  % Drodi V3.6.0
% 0.20/0.45  % Refutation found
% 0.20/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.47  % Elapsed time: 0.127417 seconds
% 0.20/0.47  % CPU time: 0.207151 seconds
% 0.20/0.47  % Total memory used: 49.025 MB
% 0.20/0.47  % Net memory used: 48.784 MB
%------------------------------------------------------------------------------